Answered

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The total perimeter of the fence is 68 ft and the area is 240 square feet. Based on this information, what are the dimensions of the fence?

Sagot :

abidemiokin

Answer:

6ft by 40ft

Step-by-step explanation:

Perimeter = 2(L+W)

Area = LW

L is the length of the fence

W is the width

Given

P = 68ft

A = 240ft²

Substitute into the formula

68 = 2L+2W ... 1

240 = LW... 2

From 1;

34 = L+W

L = 34-W ... 3

Substitute 3 into 2

From 2;

LW = 240

(34-W)W = 240

34W - W² = 240

- W²+34W = 240

W²-34W - 240 = 0

W²+6W-40W - 240 = 0

W(W+6)-40(W+6) = 0

W-40 = 0

W = 40feet

Since

34 = L+W

34 = L + 34

L = 6ft

Hence the dimension of the fence is 6ft by 40ft

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