# There are 2 squares, and the ratio of their perimeters is 5: 8. if the area of the first square is 225m², then what is

There are 2 squares, and the ratio of their perimeters is 5: 8. if the area of the first square is 225m², then what is the area of the second one?

## This Post Has 3 Comments

1. isahbellas says:

we know that

the ratio of the perimeters is equals to the scale factor

scale factor=5/8

scale factor=measure smaller square/measure larger square

let

smaller square=first square

larger square=second square

area smaller square=[scale factor]²*area larger square

so

area larger square=area smaller square/[scale factor]²

scale factor=5/8

area smaller square=225 m²

area larger square=225/[5/8]²> 225/(25/64)-- > 225*(64/25) > 576 m²