Question

The perimeters of two squares are in the ratio 8:15, find the ratio between the lengths of their sides.

Answer 1

let the side be s
so 4s is equal to 8x of first square
and 4s is equal to 15x in second square

ratio = 8x:15x
=> 8:15

Answer 2

Perimeters of two squares are in ratio 8:15 then the ratio between the lengths of their sides is also 8:15.

Perimeter of square is 4a where a is side of square so we have:--

Let side of square 1= a1

Perimeter of square 1=4a1

Let side of square 2=a2

Perimeter of square 2=4a2

So perimeter of square 1/perimeter of square 2=8:15

So 4a1/4a2=8:15

Hence a1/a2=8:15.

Hence ratio of sides of square1 to square2 is 8:15.