A rectangle has an area of 40 square units. The length is 6 units greater than the width.

Question

A rectangle has an area of 40 square units. The length is 6
units greater than the width.

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Skylar 2 weeks 2021-09-08T04:33:56+00:00 2 Answers 0

Answers ( )

    0
    2021-09-08T04:35:22+00:00

    Sorry got it mixed up- 4 is width length is 10

    0
    2021-09-08T04:35:25+00:00

    Answer:

    Answer:

    The width is 4 units, and the length is 10 units.

    Step-by-step.

    Step-by-step explanation:

    area of rectangle = length * width

    Let L = length; let W = width.

    “The length is 6 units greater than the width.”: L = W + 6

    area = LW = 40

    Since L = W + 6, we substitute L with W + 6.

    (W + 6)W = 40

    W^2 + 6W = 40

    W^2 + 6W – 40 = 0

    (W – 4)(W + 10) = 0

    W – 4 = 0 or W + 10 = 0

    W = 4 or W = -10

    A width cannot be a negative number, so we discard the solution W = -10.

    W = 4

    L = W + 6 = 4 + 6 = 10

    The width is 4 units, and the length is 10 units.

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