geometry

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A kindergarten school has square mats in two colors, red and blue. The ratio of the perimeter of the red mat to the perimeter of the blue mat is 1 : 2. The area of the red mat is blue mat is 9 square feet.

What is the area of the red mat?

  • geometry -

    S = sqrt9 = 3 Ft. = Length of a side of blue mat.

    Pb = 4 * 3 = 12 Ft. = Perimeter of blue mat.

    Pr/Pb = 1/2,
    Pr/12 = 1/2,
    Pr = 6 Ft.

    4S = 6,
    S = 1.5 Ft. = Length of a side of red mat.

    Ar = S^2 = (1.5)^2 = 2.25 sq. Ft. = Area of red mat.

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