The length of a rectangle is 4 units more than the width. The area of the rectangle is 32 units ^2 What is the length, in units, of the rect

Question

The length of a rectangle is 4 units more than the width. The area of the rectangle is 32 units ^2 What is the length, in units, of the rectangle?

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Alaia 2 months 2021-10-15T03:26:28+00:00 1 Answer 0 views 0

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    2021-10-15T03:27:35+00:00

    Answer:

    Length = 4 units

    Step-by-step explanation:

    Width = x units

    Length = (x + 4) units

    Area = 32 square units

    length * width = 32

    (x +4) *x = 32

    x *x + 4 * x = 32

    x² + 4x  -32 = 0

    Sum = 4

    Product = -32

    Factor = 8 , (-4)

    x² + 4x  -32 = 0

    x² + 8x – 4x – 4 * 8 = 0

    x(x + 8) – 4(x +8) = 0

    (x + 8) (x – 4) = 0

    (x + 8) is ignored because measurements will not have negative sign.

    x-4 =0

    x = 4

    Width = 4 units

    Length = x + 4 = 4 + 4 = 8 units

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