geometry

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A rectangle measures 6 inches in length by 9 inches in width. If the rectangle will be enlarged by 250%, what will be the lengths of the sides of the new rectangle?

What percent bigger is the perimeter of the new rectangle, compared to the original?

  • geometry -

    original area = 54 in^2
    new area = 54(2.5) = 135 in^2

    Assuming the new rectangle is similar to old one,
    length = 9x , width = 6x
    54x^2 = 135
    x^2 = 2.5
    x = √2.5 = 1.58

    new length = 9(1.58) = appr. 14.23 in
    new width = 6(1.58) = 9.49 in
    percentage increase of perimeter = 58%

    new perimeter is 158 % of old one

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