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A​ person's rectangular dog pen for his dog must have an area of 200 square feet.​ Also, the length must be 12 feet longer than the width. Find the dimensions of the pen.

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Answer:

width = 9.36 ft

length = 21.36 ft

Step-by-step explanation:

Let the width be x ft long. Then it follows that the length will be (x+12) ft long.

To calculate the area would then be

x(x+12) = 200

x[tex]x^{2} +12x=200

x^{2} +12x-200=0[/tex]

x = 9.36 ft or x = -21.36 ft

We take the positive answer. So the dimensions are

width = 9.36 ft

length =  9.36 + 12 = 21.36 ft

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