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A fence encloses a rectangular feild the feild is 4 meters longer than it is wide. the perimeter of the fence is 144 meters. what is the area in square meters

1 Answer

5 votes

Length (L): w + 4

width (w): w

Perimeter (P) = 2L + 2w

144 = 2(w + 4) + 2(w)

144 = 2w + 8 + 2w

144 = 4w + 8

136 = 4w

34 = w

Length (L): w + 4 = (34) + 4 = 38

Area (A) = L x w

= 38 x 34

= 1292

Answer: 1292 meters²


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