Question

The perimeter of square A is 3 times the perimeter of square B.What is the ratio of the area of square A to square B?

Answer 1

Answer:

let the perimeter of square b be x

a s perimeter is 3x

side of square a is 3x/4

side of square b is x/4

area of square is s^2

area of a 9x^2/16

area of b x^2/16

ratio of a:b =9x^2/16÷x^2/16

=9:1

Answer 2

The ratio of square A to square B is 9:1.

Given - Relation between perimeter

Find - Ratio of area of square A to square B

Solution - We know the formula of perimeter of square is 4*side of square. So, let side of square A be a and square B be b.

Hence, representing the relation in equation form-

4a = 3*4b

a/b = 3

The ratio form will be a:b = 3:1.

Now, finding ratio of area of square A and B. We know, area is side².

So, representing this in equation form -

Ratio = a²:b²

Ratio = 3²:1²

Ratio = 9:1

Hence, the ratio of square A to square B is 9:1.

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