The perimeter of square a is 3 times the perimeter of square b. what is the ratio of the area of square a to the area of square b.

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The perimeter of square a is 3 times the perimeter of square b. what is the ratio of the area of square a to the area of square b.

Step-by-step explanation:

perimeter of square A = 3 x perimeter of square B

pA = 3pB

4 l(A) = 3 x 4 l(B)

l(A) = 3 l(B)

area of square A = lA² = {3 l(B)}² = 9 lB²

area of square B = lB²

area of square A / area of square B = 9 lB² / lB² = 9

9:1

The ratio is when two things are being compared in their simplest form. in this case its the perimeter so its 3:1

A= 3B

A/B= (3s)²/s²= 9/1

Area= s² where s is the side.

the ratio of the area of A to B is 9/1

Since the ratio of square a is three items the perimeter of square b, the ratio of a to b would be

X:3X

The ratio of the area of Square A to the area of Square B is 9:1