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The Cosmic Pool company is building a pool in Mary’s back yard. The pool is to be 8ft longer than it is wide and cover 240 square feet of the back yard. Determine both dimensions of the pool and the perimeter.
Group of answer choices

A. Dimensions: width = 20ft & length = 12ft
Perimeter: 32ft

B. Dimensions: width = 20ft & length = 12ft
Perimeter: 64ft

C. Dimensions: width = 12ft & length = 20ft
Perimeter: 64ft

D. Dimensions: width = 12ft & length = 20ft
Perimeter: 32ft

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Answer:

The correct answer is C.

Step-by-step explanation:

Since the Cosmic Pool company's pool's length is 8ft longer than the width, you can immediately rule out choices A and B, since their widths are greater than their lengths by 8, and not vice versa. This leaves choices C and D. The perimeter of a quadrilateral's formula is [tex]2(l+w)[/tex], which means the length plus the width and multiplied by 2. Using this formula, you can infer that the perimeter is [tex]2(20+12)[/tex] = [tex]2*32[/tex] = 64ft, so choice C is the correct answer.

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