Math

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The ratio of the perimeters of two similar squares is 5 to 4. If the area of the smaller square is 32 square units, what is the area of the larger square?

  • Math -

    Since both the length of sides and perimeter are linear

    the perimeters would be in that same ratio as the sides.
    So the sides are in the ratio of 5:4

    The ratio of areas is equal to the square of their corresponding sides.
    so
    A/32 = 5^2 / 4^2
    A = 32(25)/16 = 50

  • Math -

    If Smaller square = 32
    Perimeter of Small Square = 4x
    Perimeter of Larger Square = 5x
    Perimeter Of Small Square = 4L
    4x = 32
    x = 32 / 4
    x = 8
    Then
    5x = 5(8)
    5x = 40

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