Video: Comparing Areas and Perimeters of Rectangles by Counting the Squares

Michael and Mason are running around playgrounds A and B, respectively. The area of playground A equals _ unit squares. The area of playground B equals _ unit squares. Which playground has the larger perimeter? Who will have run more after the first round for both of them?

03:32

Video Transcript

Michael and Mason are running around playgrounds A and B, respectively, as shown here. The area of playground A equals what unit squares. The area of playground B equals what unit squares. Which playground has the larger perimeter? And who will have run more after the first round for both of them?

In this question, we’re comparing the area and perimeter of two playgrounds. Let’s calculate the area of playground A, and we’re asked to do this in unit squares. The length of playground A is six unit squares and the width is four unit squares. So to calculate the area, we need to multiply six by four. Six times four or four times six is 24. So the area of playground A equals 24 unit squares. Let’s calculate the area of playground B. This playground is eight unit squares long by three unit squares. So to calculate the area, we need to multiply eight lots of three. Eight times three or three times eight is also 24. The area of both playgrounds is the same. The area of playground A equals 24 unit squares and the area of playground B is also 24 unit squares.

Now that we’ve calculated the area of each playground, we need to calculate the perimeter of each playground. A perimeter is the distance all the way around the outside edge of the playground. So to calculate the perimeter of playground A, we need to add together two lots of six and two lots of four. Six plus six is 12, four plus four is eight, and 12 plus eight equals 20. The perimeter of playground A is 20 unit squares. To calculate the perimeter of playground B, we need to add together our two lots of eight and two lots of three. We know that double eight is 16; double three is six. 16 plus six is 22. 22 is greater than 20. So the playground with the larger perimeter is playground B.

Now we can answer the final question, who will have run more after they’ve completed a round of the playground? In other words, if Michael and Mason run all the away around the perimeter of their respective playgrounds, who will have run the most? Since the perimeter of playground B is the larger perimeter, the person who will have run the most is Mason.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.