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the ratio of the lengths of the corresponding sides of two rectangles is 8:3. The area of the larger rectangle is 320 ft^2. What is the area of the smaller rectangle?

  • math -

    8/3 = sqrt(320)/sqrt(A2)
    Cross multiply:
    8*sqrt(A2) = 3*sqrt(320)
    Divide both sides by 8:
    sqrt(A2) = 3*sqrt(320) / 8
    Square both sides:
    A2 = 45 Ft.^2.

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