SOLUTION: The length of rectangular garden exceeds three time the width by 12 meters. The area of the garden is 180m^2 find the dimension of the garden

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Question 1038560: The length of rectangular garden exceeds three time the width by 12 meters. The area of the garden is 180m^2 find the dimension of the garden
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x    Length
y    Width

system%28x=y%2B12%2Cxy=180%29

%28y%2B12%29y=180
y%5E2%2B12y=180
y%5E2%2B12y-180=0

Check Discriminant.
12%5E2-4%2A1%2A%28-180%29
144%2B4%2A180
864
9%2A96
9%2A16%2A6
9%2A4%5E2%2A2%2A3
3%5E2%2A4%5E2%2A6

y=%28-12%2B-+sqrt%283%5E2%2A4%5E2%2A6%29%29%2F2

y=%28-12%2B12%2Asqrt%286%29%29%2F2

highlight%28y=-6%2B6%2Asqrt%286%29%29-----------------Use this to find x.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The length of rectangular garden exceeds three time the width by 12 meters. The area of the garden is 180m^2 find the dimension of the garden
Dimensions: