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18 April, 09:54

The length and width of a rectangle are

consecutive odd integers. The area of the

rectangle is 15 square units. What are the

length and width of the rectangle?

Separate the answers with a comma.

+1
Answers (1)
  1. 18 April, 10:42
    0
    3,5

    Step-by-step explanation:

    Represent the width by W and the length by L. L = W + 2 (because L and W are consecutive odd integers).

    Then L * W = 15 units^2, and after substitution this becomes:

    (W + 2) * W = 15, or W^2 + 2W - 15 = 0.

    This factors as follows: (W + 5) (W - 3) = 0, and the positive root is W = 3.

    The length and width of the rectangle are 3 and 5 respectively.

    Note that 3 and 5 are consecutive odd integers, and that 3 * 5 = 15 units^2.
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