Mathematics

Question

The length of a rectangle is three times its width. if the area of the rectangle is 75 in2, find its perimeter.

1 Answer

  • Answer:

      40 in

    Step-by-step explanation:

    For a width of w, the length is 3w and the area and perimeter are ...

      A = LW = (3w)(w) = 3w^2

      P = 2(L+W) = 2(3w +w) = 8w

    We are given the area, so we can find w to be ...

      75 in^2 = 3w^2

      25 in^2 = w^2 . . . . . divide by 3

      5 in = w . . . . . . . . . square root

    Then the perimeter is ...

      P = 8w = 8(5 in) = 40 in

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