SOLUTION: A farmer has 26 meters of fencing available to enclose a rectangular region. he wants the rectangular garden to have an area o 40 square meters. find the dimension of the garden.

Question 96806: A farmer has 26 meters of fencing available to enclose a rectangular region. he wants the rectangular garden to have an area o 40 square meters. find the dimension of the garden.
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
xy=40 or x=40/y
2x+2y=26
2(40/y)+2y=26
80/y+2y=26
(80+2y^2)/y=26 cross multiply
80+2y^2=26y
2y^2-26y+80=0
y^2-13y+40=0
(y-8)(y-5)=0
y-8=0
y=8 answer. x=5
y-5=0
y=5 answer. x=8
proof
2*8+2*5=26
10+16=26
26=26

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