SOLUTION: to fence a rectangular farm of 750 m^2, 110 m of fence has been used. calculate the dimensions of the farm. show your work.

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Question 570897: to fence a rectangular farm of 750 m^2, 110 m of fence has been used. calculate the dimensions of the farm. show your work.
Answer by maa.veera@gmail.com(3) About Me  (Show Source):
You can put this solution on YOUR website!
Area of rectangle = L * W = 750 m^2 -----(1)
Perimeter = 2(L + W )
110 = 2(L + W)
55 = L + W
W = 55 - L ------(2)
plug (2) in (1)
L(55 - L) = 750
55L - L^2 = 750
L^2 - 55L + 750 =0
(L -30)(L-25)=0
L = 30 or L =25
if L = 3 0 W = 55-30 = 25
if L=25 then W = 55-25 = 30
therefore dimensions of Rectangle are 30m and 25m .