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Andre45 [30]
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?
Mathematics
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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