The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the rectangle?

Question

The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the rectangle?

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Remi 2 weeks 2021-11-22T03:21:35+00:00 1 Answer 0

Answers ( )

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    2021-11-22T03:22:36+00:00

    Let length = l

    width = w

    Acc. to the question = l = w – 8

    Area = 9 units

    Area of a rectangle = w ( w – 8) = 9

    = w² – 8w = 9

    = w² – 8w – 9 = 0

    = w² – 9w + w – 9

    = w( w – 9 ) 1( w-9)

    = (w + 1) ( w-9)

    = w = -1, 9

    = Since width cannot  be equal to a negative value, w = 9 units

    l = w – 8

    l = 9 – 8

    ∴length = 1 unit

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