Question

110 meters of fencing are used to fence a rectangular pasture of 750 square meters of farmland. If the length of the pasture is longer than the width, what is the width of the pasture in meters?

Answer 1

25m

Explanation:

Perimeter of the rectangular pasture P = 2(L+W)

Area A = LW

L is the length

W is the width

Given

Perimeter = 110m

Area = 750m

If the length of the pasture is 40m longer than the width, then L = W+40

110 = 2L+2w

55 = L+W .....1

750 = LW.....2

Solving simultaneously

from 1; L = 55-W

substitute into 2;

750 = (55-W)W

750 = 55W-W²

-W²+55W -750 = 0

W²-55W+750 = 0

(W²-25W)-(30W+750) = 0

W(W-25)-30(W-25) = 0

(W-25)(W-30) = 0

W-25 = 0 and W-30 = 0

w = 25m and 30m

Since L = 55-W

L = 55-25 = 30m and;

L = 55-30 = 25m

Since we are told that length id longer than the width then, the width we are going to use is 25m