ClassX Video Lessons Youtube Channel Smile and Learn English Calculating Area ???????? Squares, Rectangles, Triangles, Rhombuses, Circles ???????? Compilation
Hello friends! Today, we’re going to explore how to calculate the area of different shapes like squares, rectangles, triangles, rhombuses, and circles. Understanding how to find the area is super useful in many real-life situations, like building a house or making a tablecloth. Let’s dive in and learn together!
A square is a shape with four equal sides and four right angles. To find the area of a square, you multiply one side by itself. For example, if each side of a square is 3 inches, the area is 3 times 3, which equals 9 square inches. This means you can fit nine 1-inch squares inside.
Let’s try an example. Patricia wants to build a house on a square lot with each side measuring 20 feet. To find the area, multiply 20 by 20, which equals 400 square feet. So, Patricia’s house will cover 400 square feet.
A rectangle has four sides with opposite sides being equal and four right angles. To find the area, multiply the length by the width. For instance, if a rectangle is 4 inches long and 3 inches wide, the area is 4 times 3, which equals 12 square inches.
Here’s a real-life example: The school principal wants to build a basketball court that is 90 feet long and 50 feet wide. To find the area, multiply 90 by 50, which equals 4,500 square feet. That’s how much space is needed for the court!
A triangle has three sides and three angles. To find the area, use the formula: base times height divided by two. For a right triangle with a base of 4 inches and a height of 3 inches, the area is (4 times 3) divided by 2, which equals 6 square inches.
Let’s help Anna, who wants to paint a triangular wall. If the base is 10 feet and the height is 30 feet, the area is (10 times 30) divided by 2, which equals 150 square feet. Anna will need enough paint for 150 square feet.
A rhombus is a shape with four equal sides and opposite sides parallel. To find the area, multiply the lengths of the diagonals and divide by two. If one diagonal is 15 inches and the other is 8 inches, the area is (15 times 8) divided by 2, which equals 60 square inches.
Anna has a rhombus-shaped kite. If the diagonals are 30 inches and 16 inches, the area is (30 times 16) divided by 2, which equals 240 square inches. That’s the area of her kite!
A circle is a round shape with a boundary called the circumference. To find the area, multiply Pi (approximately 3.14) by the radius squared. If the radius is 6 inches, the area is 3.14 times (6 times 6), which equals 113.04 square inches.
Anna wants to make a round tablecloth for a table with a 50-inch radius. The area is 3.14 times (50 times 50), which equals 7,850 square inches. That’s how much fabric Anna needs!
Now you know how to calculate the area of different shapes! Try finding the area of objects around you. It’s a fun way to practice and learn. See you next time!
Go on a scavenger hunt around your home or school to find objects that match the shapes we’ve discussed: squares, rectangles, triangles, rhombuses, and circles. Measure their dimensions and calculate their areas. Share your findings with the class!
Create a piece of art using different shapes. Draw and cut out squares, rectangles, triangles, rhombuses, and circles from colored paper. Calculate the area of each shape and label them. Display your artwork and explain your calculations to the class.
Write a short story that includes a problem involving the area of one or more shapes. Swap stories with a classmate and solve each other’s area problems. Discuss the solutions together to ensure understanding.
Participate in a math relay race where each team member solves an area problem for a different shape. Once a problem is solved, pass the baton to the next teammate. The first team to correctly solve all problems wins!
Research and present a real-life application of calculating area, such as designing a garden, painting a wall, or planning a playground. Explain how knowing the area helps in these situations and present your findings to the class.
Here’s a sanitized version of the provided YouTube transcript:
—
Hello friends! Today we’re going to learn how to calculate the area of a square, also known as the surface area of the square. You might be wondering what the area of a square is and what it’s used for.
Before we start, let’s recap what a square is. A square is a plane figure with four equal sides that are parallel to each other, and it has four right angles. That’s why we say a square is a regular polygon. We measure its surface in square inches, square feet, or square miles.
As you can see in this picture, the area of the square is the total number of square units that fit inside. To calculate the area of a square, we use the following formula: the area of the square is equal to one side multiplied by itself. For example, if the sides of this square measure three inches each, we multiply three by three, which equals nine. So, the area of this square is nine square inches.
In this square, we can fit nine one-inch squares. It’s very important to know how to find the area of a square. Let’s look at some examples.
Patricia is going to build a house on a square lot, with each side measuring 20 feet. To find the total surface area of Patricia’s house, we need to calculate the area of this square. Remember, we multiply one side by the other: 20 by 20 equals 400. Therefore, Patricia is going to build a 400 square foot house.
If we were patient enough to count each square, we would see that there are exactly 400 squares measuring one square foot each. Let’s help Patricia a bit more. She wants to build a square garden next to her house. If each side of the square measures eight feet, how big would the garden be?
To find out, we need to calculate the area of this square. We multiply one side by the other: eight by eight equals 64. The garden will have a surface area of 64 square feet.
As you can see, knowing how to calculate the area of a square is very important in construction or architecture. Would you like to try another example? Look for a measuring tape and calculate the area of the next square object you can find. See you soon!
—
Hey everybody! Today we’re going to teach you how to calculate the area of a rectangle, also called the surface area of a rectangle. Let’s start by remembering what a rectangle is. A rectangle is a plane figure with four sides that make four right angles. It has two equal parallel sides, meaning its opposite sides are equal and parallel.
Its area can be measured using different units of measurement, depending on the system we use and its size. For instance, it can be measured in square inches, square feet, or square miles if it’s very large.
As you can see in this image, the area of the rectangle is the number of square units that the figure has inside it. To calculate the area of a rectangle, we need to know the formula: area is equal to length times width. The length is represented by the letter L, and the width is represented by the letter W.
Let’s practice. This rectangle’s length is four inches and the width is three inches. To calculate its area, we must multiply the length by the width: 4 times 3 equals 12. Great! The area of this rectangle is equal to 12 square inches, meaning 12 one-square-inch squares fit in this rectangle.
Knowing the area of a rectangle is very important. Should we take a look at a real-life example? The school principal wants to build a basketball court in the playground. The court has a length of 90 feet and a width of 50 feet. What is the area needed to build the basketball court?
To find out, we need to calculate the area of the basketball court, which is a rectangle. Remember, we must multiply length times width: 90 times 50 equals 4,500. Great! The principal will need 4,500 square feet to build the basketball court.
If we had the patience to count them all, you would see that there are exactly 4,500 square feet on this court’s surface. Do you want to try an example? Find a meter stick and calculate the area of the next rectangular object you find. See you soon!
—
Hello friends! Today we’re going to show you how to calculate the area of a triangle, also called the surface area of a triangle. Let’s start by remembering what a triangle is. A triangle is a plane figure with three sides that forms three angles and three vertices, making it the geometric figure with the fewest sides.
Its area can be measured in square inches, square feet, square miles, and many other units of measurement. There are different types of triangles: equilateral, scalene, isosceles, acute, right, and obtuse triangles. Today, we will learn how to calculate the area of all of them.
As you can see in this image, the area of a triangle is the number of square units that the figure contains inside. To calculate the area of a triangle, we use the following formula: the area of a triangle is equal to the base times the height divided by two.
Let’s practice with a right triangle. The base of this triangle measures four inches, and its height measures three inches. What will its area be? To calculate the area, we multiply the base by its height and then divide by two: 4 times 3 equals 12, and 12 divided by 2 equals 6.
Great! The area of this triangle is equal to six square inches. This triangle contains six one-square-inch squares. Knowing the area of a triangle is very important.
Let’s look at another example. Anna wants to paint the front of her triangular house and needs to know the area of the wall to find out how much paint she has to buy. If the base is 10 feet and the height is 30 feet, what is the total area?
Remember, we must multiply the base by the height and divide by two: 10 times 30 equals 300, and 300 divided by 2 equals 150. Very good! The area of Anna’s triangular house wall is 150 square feet. She’ll have to buy a lot of paint.
As you can see, knowing how to calculate the area of a triangle is very important. You only have to multiply the base by the height and divide the result by two. Are you up for calculating other triangles on your own? See you later!
—
Hey friends! Today we are going to show you how to calculate the area of a rhombus, also called the surface area of a rhombus. Let’s start by remembering what a rhombus is. A rhombus is a parallelogram with four equal sides. Its opposite sides are parallel, and its opposite angles are equal, which must be different from each other.
Its surface area can be measured in square inches, square feet, square miles, and many other units of measurement. As you can see in this image, the area of the rhombus is the number of square units that the figure contains inside.
To calculate the area of the rhombus, we must use the following formula: the area of a rhombus is equal to the first diagonal times the second diagonal divided by two. Diagonals are lines that go from one vertex to another vertex.
Let’s practice. The longest diagonal of this rhombus measures 15 inches, and the shortest diagonal measures 8 inches. To calculate the area, we multiply the longest diagonal by the shortest diagonal and then divide by two: 15 times 8 equals 120, and 120 divided by 2 equals 60.
Great! The area of this rhombus is equal to 60 square inches. This rhombus fits 60 one-square-inch squares.
Let’s look at another example. Anna has a rhombus-shaped kite. If the longest diagonal measures 30 inches and the shortest diagonal measures 16 inches, what is its total area? Remember, we must multiply the longest diagonal by the shortest diagonal and then divide by two: 30 times 16 equals 480, and 480 divided by 2 equals 240.
That’s great! We have helped Anna find out her kite’s area. As you have seen, knowing how to calculate the area of a rhombus is very important. All you have to do is multiply the longest diagonal by the shortest diagonal and divide the result by two. Are you ready to calculate the area of the next rhombus you find? See you later!
—
Hello friends! Today we’re going to explain how to calculate the area or surface of a circle. Many of you might be asking yourselves what it is and what it’s for. A circle is a plane figure whose boundaries are a circumference. This means that the circle is everything the circumference contains, or in other words, the circle is the inside of the circumference.
Because a circle is a plane figure, we measure the area or surface of the circle in square yards, square inches, or square miles. You can see in this picture that the area of the circle is the total number of square units that fit inside the circumference.
First, let’s recap some parts of the circle. Here is the center, and this is the radius. To find the area of the circle, we multiply Pi by the radius squared, meaning we multiply Pi by the radius multiplied by itself.
Remember that for every circumference in the world, the number Pi is represented by the Greek letter Pi, and it’s an infinite number: 3.1415926535897932384… In everyday life, this number is often shortened to 3.14 for simplicity.
Let’s practice. The radius of this circle is 6 inches. To find the area, we multiply Pi by the radius squared. This means that 6 squared equals 36, and if we multiply 36 by 3.14, we get 113.04.
That’s it! The area of the circle equals 113.04 square inches. This means that 113.04 squares can fit in this circle, each measuring one square inch. It’s very important to know how to measure the area of a circle.
Let’s look at an example. Anna wants to buy some fabric to make a new tablecloth. The table is round, and its radius measures 50 inches. How much fabric will she need for the table?
To find out, we should calculate the area of this round table. Remember that we should square the radius, meaning multiply it by itself, and then multiply the result by Pi. Let’s see: 50 squared equals 2,500, and 2,500 multiplied by 3.14 equals 7,850.
Great! Anna needs 7,850 square inches of fabric to make a new tablecloth. If we were patient enough to count them, we would see that there are exactly 7,850 squares on this tablecloth, each measuring one inch.
We’ve learned so much in just one video! Did you know there are many more videos? Imagine how much you could learn! Subscribe to the Smile and Learn educational channel to learn and have fun at the same time!
—
This version removes any informal language and maintains a clear educational tone.
Area – The amount of space inside a shape or surface, measured in square units. – The area of a rectangle is found by multiplying its length by its width.
Square – A four-sided shape with all sides of equal length and all angles equal to 90 degrees. – The playground is shaped like a square, with each side measuring 20 meters.
Rectangle – A four-sided shape with opposite sides equal in length and all angles equal to 90 degrees. – The classroom has a rectangular shape, making it easy to arrange desks in rows.
Triangle – A three-sided polygon with three angles. – We learned that the sum of the angles in a triangle is always 180 degrees.
Rhombus – A four-sided shape where all sides have equal length, but the angles are not necessarily 90 degrees. – A rhombus looks like a tilted square, but its angles are different.
Circle – A round shape where all points are the same distance from the center. – The teacher asked us to find the circumference of the circle using its radius.
Length – The measurement of how long something is from one end to the other. – We measured the length of the table to see if it would fit in the room.
Width – The measurement of how wide something is from side to side. – The width of the rectangle is shorter than its length.
Height – The measurement of how tall something is from bottom to top. – The height of the triangle is needed to calculate its area.
Diagonal – A straight line inside a shape that connects two opposite corners. – The diagonal of a rectangle divides it into two right triangles.
