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A person has a rectangular garden that has a length of 11 feet longer than the width. Set up a quadratic equation
to find the dimensions of the garden if its area is 126 ft2. Solve the quadratic equation to find the length and
width.

Respuesta :

tramserran

Answer: width = 7, length = 18

Step-by-step explanation:

Area (A) = Length (L) x width (w)

Given: A = 126, L = w + 11

126 = (w + 11)w

126 = w² + 11w

 0   = w² + 11w - 126

 0   = (w - 7)(w + 18)

 0  = w - 7     0 = w + 18

 7 = w         -18 = w

                      ↓

                   Disregard because width cannot be negative

L = w + 11

  = 7 + 11

  = 18

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