ClassX Video Lessons Youtube Channel TutoringHour Area of a Rectangle | Learn with Solved Real-Life Examples
Hello and welcome to Tutoring Hour! Meet Joe, who has a lovely kitchen garden. In his garden, he grows different vegetables like beets and carrots. Can you guess which patch is bigger just by looking? If you think it’s the carrot patch, you’re right! But sometimes, it’s not so easy to tell just by looking.
Let’s learn how to find out which patch is bigger by calculating the area. The area is the amount of space that a flat shape or surface takes up. Joe wants to know the area of his pumpkin patch, bell pepper patch, and corn patch. Let’s help him figure it out!
Imagine Joe’s pumpkin patch is drawn on a grid. The grid is made up of small boxes called unit squares. To find the area, we count how many unit squares the rectangle covers.
For example, if there are 15 unit squares in the pumpkin patch, the area is 15 square units. But counting each square can take a long time, so let’s find a quicker way!
Look at the rectangle again. It has 5 unit squares along its length and 3 unit squares along its width. To find the area, we multiply the length by the width. So, 5 times 3 equals 15 square units. If each unit square is 1 meter, then the area is 15 square meters.
We can use a simple formula to find the area of a rectangle: A = length × width. This means we multiply the length by the width to get the area. It’s much faster than counting squares!
Now, let’s find the area of Joe’s bell pepper patch. The length is 8 feet, and the width is 5 feet. Using the formula, we multiply 8 feet by 5 feet to get 40 square feet. So, the area of the bell pepper patch is 40 square feet. Easy, right?
Next, let’s look at the corn patch, which is square-shaped. Each side of the square is 9 feet long. For squares, the length and width are the same, so we use the formula: side × side. So, 9 feet times 9 feet equals 81 square feet. The area of the corn patch is 81 square feet.
Now that you’ve helped Joe find the area of his vegetable patches, you can practice finding the area of other rectangles. It’s a fun way to use math in real life! If you want more practice, check out tutoringhour.com. Thanks for learning with us at Tutoring Hour!
Garden Grid Game: Create your own garden grid using graph paper or draw a grid on a piece of paper. Pretend each square is a unit square, just like in Joe’s garden. Draw different rectangles on your grid and calculate their area using the formula A = length × width. Try drawing a rectangle with a length of 4 squares and a width of 3 squares. What is the area? Can you make a rectangle with an area of 12 square units?
Rectangle Hunt: Go on a rectangle hunt around your home or classroom! Look for objects that have a rectangular shape, like books, tables, or picture frames. Measure the length and width of these objects using a ruler or measuring tape. Calculate the area of each object using the formula. Which object has the largest area? Share your findings with a friend or family member.
Area Art: Use colored paper or construction paper to create a piece of art made up of rectangles. Cut out different rectangles with varying lengths and widths. Arrange them on a larger piece of paper to create a picture or pattern. Calculate the area of each rectangle and write it on the back. How many different rectangles can you fit into your artwork? Display your art and explain the areas of each rectangle to someone else.
**Sanitized Transcript:**
Hello and welcome to Tutoring Hour! This is Joe, and this is his kitchen garden. Look at the two patches of vegetables in his garden: the beet patch and the carrot patch. Can you tell which of them is bigger? If you said the carrot patch, then you are right. You could say that by simply looking at it.
Now, take a look at these two patches of veggies. We cannot tell which is bigger by just looking at them. We need to calculate the area to actually figure out which is bigger. Area is the amount of space occupied by a 2D shape or surface of an object.
Now, Joe wants to figure out the area of his pumpkin patch, bell pepper patch, and corn patch. Let’s lend him a hand in doing that. We’ll start off with this pumpkin patch drawn on the grid. The boxes you see on this grid are called unit squares. To determine the area, we need to figure out the total number of unit squares occupied by this rectangle.
We have 1, 2, 3, 4, 5, then 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15 unit squares. But counting squares to determine the area is not always feasible. We need to look for a simpler method. Let’s take a look at this rectangle again. There are 1, 2, 3, 4, 5 unit squares or columns along the length, and there are 1, 2, 3 such rows.
So, the total number of unit squares occupied by this rectangle is 5 unit squares times 3, and that is 15 unit squares. If we assume that each side of the unit square measures 1 meter, then its area becomes 1 square meter. Equating the number of columns with length and the number of rows with width, 5 meters becomes the length of the rectangle, and 3 meters is the width of the rectangle. The product of the two: 15 square meters is the area of the rectangle.
From this, we have the formula to find the area of the rectangle: A = length times width or l times w. All we need to do is just plug in the dimensions and figure out the area. This works much faster than counting squares.
So, let’s apply the formula to find the area of the rectangular bell pepper patch. The length is 8 feet and the width is 5 feet. The formula for finding the area of a rectangle is length times width, which is 8 feet times 5 feet. Multiplying the two, we have 40 square feet. Therefore, the area of Joe’s bell pepper patch is 40 square feet. That was pretty simple!
Up next is this square-shaped corn patch. Let’s find its area. Each of its sides measures 9 feet. The area of a rectangle is length times width. The length and width in the case of a square are the same. So, the formula to find the area of a square can be written as side times side or side squared. Hence, we have 9 feet times 9 feet, and the area of the square corn patch is 81 square feet.
Now that you have helped Joe find the area of the vegetable patches in his kitchen garden, all you need to do is practice determining the area of different rectangular objects. If you want to practice this, then tutoringhour.com is the place to be. If you enjoyed this video, give us a “thumbs up”! And if you haven’t yet subscribed to our channel, do that right now! Thanks for watching Tutoring Hour!
