SOLUTION: The Patel family had a square garden. They increased the size of the garden so that the new larger square garden is 144 square feet larger than the old garden. The new garden has a

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Question 239475: The Patel family had a square garden. They increased the size of the garden so that the new larger square garden is 144 square feet larger than the old garden. The new garden has a side that is 3 feet longer than double the length of the side of the old garden. What are the dimensions of the old and new garden?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(2x+3)^2=144-x^2
4x^2+12x+9=144-x^2
4x^2+x^2+12x+9-144=0
5x^2+12x-135=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x=(-12+-sqrt[12^2-4*5*-135])/2*5
x=(-12+-sqrt[144+2,700])/10
x=(-12+-sqrt[2,844])/10
x=(-12+-53.329)/10
x=(-12+53.329)/10
x=41.329/10
x=4.1329 ans for the original size of the square garden.
2*4.1329+3=8.2658+3=11.2658 ans. for the expanded side of the garden.
Proof:
(2*4.1329+3)^2=144-4.1329^2
(8.2658+3)^2=144-17.08
11.2658^2=126.92
126.92=126.92