SOLUTION: Johnny uses 80m of fencing materials to enclose three sides of a rectangular garden. The side if his house will make up the fourth. Find the garden of the area is 700 square meters
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Question 165098: Johnny uses 80m of fencing materials to enclose three sides of a rectangular garden. The side if his house will make up the fourth. Find the garden of the area is 700 square meters. Found 2 solutions by Alan3354, checkley77:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Johnny uses 80m of fencing materials to enclose three sides of a rectangular garden. The side if his house will make up the fourth. Find the garden of the area is 700 square meters.
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Find what?
You can put this solution on YOUR website! Let x be 2 of the sides & y be the third side.
2x+y=80
y=80-2x
xy=700
x(80-2x)=700
80x-2x^2-700=0
2x^2-80x+700=0
2(x^2-40x+350)=0
x=(40+-sqrt[-40^2-4*1*350])/2*1
x=(-40+-sqrt[1600-1400])/2
x=(40+-sqrt200)/2
x=(40+-14.142)/2
x=(40+14.142)/2
x=54.142/2
x=27.07
y=80-2*27.07
y=80-54.14
y=25.86
x=(40-14.142)/2
x=25.858/2
x=12.929
y=80-2*12.929
y=80-25.858
y=54.142
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