SOLUTION: Hi, I have a question on a word problem I came across in the Quadratic Equations section of my math homework. Thanks for your help! FOr a remodeling job, an architect suggested

Question 652335: Hi, I have a question on a word problem I came across in the Quadratic Equations section of my math homework. Thanks for your help!
FOr a remodeling job, an architect suggested increasing the sides of a square patio by 3 feet per side. This made the area of the new patio 49 square feet. What was the area of the original patio?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
FOr a remodeling job, an architect suggested increasing the sides of a square patio by 3 feet per side. This made the area of the new patio 49 square feet. What was the area of the original patio?
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Let original dimensions be x by x
Then original area = x^2
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New Area = (x+3)^2 = x^2 + 6x+9
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Equations:
New area - old area = 49 sq ft
x^2+6x+9 - x^2 = 49
6x+9 = 49
6x = 40
x = 20/3 ft
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Original Area = x^2 = (20/3)^2 = 400/9 = 44.44 sq ft.
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Cheers,
Stan H.
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