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3 years ago

9

Alex is building a rectangular fence around his yard. The total perimeter of the fence is 68 feet and the area of the yard is 24

0 square feet. Based on this information, what are the dimensions of the fence?

2 answers:

pychu [463]3 years ago

6 0

Perimeter (P) = 2L + 2w

68 = 2L + 2w

68 - 2L = 2w

2(34 - L) = 2(w)

34 - L = w

********************

Area (A) = L * w

240 = L (34 - L)

240 = 34L - L²

L² - 34L + 240 = 0

(L - 10)(L - 24) = 0

L = 10 or L = 24

w = 34 - L = 34 - 10 = 24 or w = 34 - 24 = 10

Answer: width = 10, length = 24 assuming length is bigger than the width

egoroff_w [7]3 years ago

3 0

Perimeter (P) = 2L + 2w

68 = 2L + 2w

68 - 2L = 2w

2(34 - L) = 2(w)

34 - L = w

********************

Area (A) = L * w

240 = L (34 - L)

240 = 34L - L²

L² - 34L + 240 = 0

(L - 10)(L - 24) = 0

L = 10 or L = 24

w = 34 - L = 34 - 10 = 24 or w = 34 - 24 = 10

Answer: width = 10, length = 24 <em>assuming length is bigger than the width</em>

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