Question

What are the dimensions of a rectangle with an area of 72 square centimeters and a perimeter of 36 cenmeter

Answer 1

6cm by 12cm

Explanation:

To find a list of the possible dimensions we can factor 72, as the dimensions of the rectangle must multiply to the area of 72

1 * 72

2 * 36

3 * 24

4 * 18

6 * 12

8 * 9

Now we can use the perimeter to find which pair is the correct answer, as the dimensions must satisfy the formula 2(Length + Width) = 36 (our perimeter)

We can see that the dimensions 6 and 12 give us our area of 72, and they do make a rectangle with the perimeter 36. This means that the dimensions of the rectangle are 6cm and 12cm.