SOLUTION: a rancher has 100 meters of fencing to enclose two adjancet rectangular corrals. the rancher wants the enclosed area to be 350 square meters. what dimensions shoul the rancher use

Question 846049: a rancher has 100 meters of fencing to enclose two adjancet rectangular corrals. the rancher wants the enclosed area to be 350 square meters. what dimensions shoul the rancher use to obtain this area?
Found 2 solutions by psbhowmick, ewatrrr:
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
Let the length and width of the rectangular corral be L and W.

Area: LW = 350

Perimeter: 2(L+W)=100 i.e. L+W=50

L=41.6,8.4
W=8.4,41.6

So the dimensions of the rectangular corral are 41.6 m and 8.4 m.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi
2L + 3w = 100 0r w = (100-2L)/3

2L^2 - 100L + 1050 = 0
L^2 - 50L + 525 = 0
(L-35)(L-15) = 0, L = 15,35 and w = 70/3, 10
CHECKING our answer***
2*15 + 3(7/3) = 100m of fencing
2*35 + 3*10 = 100m of fencing
Wish You the Best in your Studies.

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