SOLUTION: Mr. Cruz bought a rectangular lot if he needed 78 metres of chicken wire to fence the whole lot which is 368 square meters, what are the dimensions of the lot?
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Question 978195: Mr. Cruz bought a rectangular lot if he needed 78 metres of chicken wire to fence the whole lot which is 368 square meters, what are the dimensions of the lot? Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website! Hi there,
Perimeter = 2 x Length + 2 x Width
78 = 2L x 2W
...........
Area = Length x Width
368 = LW
So, W = 368/L
Substitute
W = 369/L into
78 = 2L + 2W
78 = 2L + 2(368/L)
Multiply out
78 = 2L + 736/L
Multiply both sides by L
78L = 2L^2 + 736
Sort out
2L^2 - 78L + 736 = 0
Divide thr'out by 2
L^2 - 39L + 368 = 0
Factorise
(L - 16)(L - 23)= 0
Length = 16m and Width = 23m
or Length = 23m and Width = 16m
Hope this helps:-)
