Question

Square P and Square Q are similar squares. The ratio of the side length of Square P to the side length of Square Q is 2:7. If the side length of Square P is 3.5 inches, the perimeter of Square Q is?

Answer 1

49 inches

Explanation:

since we are talking about squares, and each side in a square has the same length, and all 4 angles are 90 degrees, "similar" did not mean much. every square is similar to every other possible square.

they all are bigger and smaller copies of themselves.

but how much bigger ?

in our case here P is the smaller square and Q the bigger one.

x = side length of P = 3.5"

y = side length of Q

x/y = 2/7

3.5/y = 2/7

7×3.5 = 2y

y = 3.5×3.5 = 12.25"

the perimeter of Q is

4×y = 4×12.25 = 49"