17. A preschool has a rectangular field and a rectangular playground that are similar in shape. Each
dimension of the field is 3.2 times the corresponding dimension of the playground. Which statement
is true?
A. The area of the field is 6.4 times the area of the playground.
B. The area of the field is 10.24 times the area of the playground.
C. The perimeter of the field is 6.4 times the perimeter of the playground.
D. The perimeter of the field is 10.24 times the perimeter of the playground.

B. The area of the field is 10.24 times the area of the playground.

Explanation:

First thing to note is that the field and playground are rectangular

Secondly is that the dimension of the field is 3.2 times the corresponding dimension of the playground

Dimension of playground = P

Dimension of field = F = 3.2P

Hence area of rectangle = L x B

Area of the field = (3.2 x 3.2) x Area of playground

Area of field = 10.4 times the area of the playground.

B. The area of the field is 10.24 times the area of the playground.

Explanation:

I just multiplied 3.2 x 3.2 and it gave me 10.24.

I also got this question correct on my test :)