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?

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  1. 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

     

    the answer is

    the area of the  second square (larger square) is 576 m²

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