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

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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) About Me  (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%2850-L%29=350
L%5E2-50L%2B350=0
%28L%5E2-2%2AL%2A25%2B25%5E2%29-25%5E2%2B350=0
%28L-25%29%5E2-625%2B350=0
%28L-25%29%5E2=275
L=25+%2B-+sqrt%28275%29
L=25+%2B-+5sqrt%2811%29

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) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

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

  L%28%28100-2L%2F3%29%29+=+350m%5E2

  L%28100-2L%29+=+1050m%5E2

    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.