Math

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The variable W represents the width of a rectangle. The length of the rectangle, L, is 5 less than twice the width.
Write an expression for the length of the rectangle in terms of W.
Write a simplified expression for the perimeter of the rectangle in terms of W.
Find the perimeter of the rectangle if the width is 3 inches.

  • Math -

    Well W = 3
    L = (2W)-5 = (6) - 5 = 1
    so

    W + W + L + L = perimeter
    so 2W + 2L = perimeter
    so subbing 2W-5 in for L we get

    2W + 2(2W-5) = perimeter
    = 2W + 4W-10 = perimeter
    = 6W - 10 = perimeter
    = 6(3) - 10 = perimeter
    =18 - 10 = perimeter
    = 8 = perimeter

    or solving the other way L = 1 W = 3
    2W + 2L = 6 + 2 = 8 = perimeter

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