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2 July, 05:17

The length of a rectangle is 3 inches more than the width. The area is 40 square inches. Find the length of the rectangle

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Answers (2)
  1. 2 July, 06:03
    0
    Length is 8 inches

    Step-by-step explanation:

    Start with area of rectangle

    Area = L * W

    Also it was stated that L = W+3 (3 inches more than the width)

    Substitute W+3 in place of L

    Area = (W+3) * W

    40 = W^2 + 3W

    Move everything to one side of the equation yields

    W^2 + 3W - 40 = 0

    By factoring

    (W+8) * (W-5) which would yield results of W = - 8 or 5. Since we are looking for positive values (width of a rectangle) we would get W = 5 inches.

    Using the information from above L = W + 3 = 5 + 3 = 8 inches.

    Checking

    L*W is area of rectangle. 8 * 5 = 40 which was the stated area (in^2) in the given information.
  2. 2 July, 08:48
    0
    The length is 8. width is 5
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