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30 April, 03:44

The equation A = x (x-4) describes the area, A, of a rectangular flower garden, where x is the width in feet.

What would be the width in feet of the flower garden if the area is 12 square feet?

A. 2

B. 6

C. 4

D. 7

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Answers (1)
  1. 30 April, 05:59
    0
    The flower garden width would be 6 ft

    Step-by-step explanation:

    A = 12 ft^2 = x (x + 4) becomes:

    x^2 + 4x - 12 = 0, or (by completing the square) x^2 + 4x + 4 - 4 - 12 = 0

    Thus, we have (x + 2) ^2 - 16 = 0, or (x + 2) ^2 = 16

    Taking the square root of both sides yields x + 2 = ±4.

    In this context only a positive x value makes sense: x = 2 + 4 = > x = 6.

    The flower garden width would be 6 ft. The other dimension would be 6 - 4, or 2, ft.
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