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15 January, 22:09

A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5) x = 104 represents the situation, where x represents the width of the rectangle. What are the dimensions of the rectangle?

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  1. 15 January, 22:30
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    1. Regroup terms

    x (x+5) = 104

    2. Expand

    x^2+5x=104

    3. Move all terms to one side

    x^2+5x-104=0

    4. Factor x^2+5x-104

    (x-8) (x+13) = 0

    5. Solve for x

    x=8 or x=-13

    Since x<0 is not possible in this case, x=8

    6. Finding the dimensions

    We know that one side has to be x+5, and now that we know x:

    8+5=13

    13*8=104

    The dimensions are 13 and 8, have a nice day : D
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