Mathematics

Question

The perimeter of a rectangle is 48m. If the width were doubled and the length were
increased by 24m, the perimeter will be 112m. What are the length and width of the rectangle?

1 Answer


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  • Answer:

    Step-by-step explanation:

    2W + 2L = 48

       W + L = 24

             L = 24 - W

        2(2W) + 2(L + 24) = 112

              4W + 2L + 48 = 112

    4W + 2(24 - W) + 48 = 112

     4W + 48 - 2W + 48 = 112

                               2W = 16

                                  W = 8

          L = 24 - 8

          L = 16