document.write( "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!\r
\n" ); document.write( "\n" ); document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #407957 by stanbon(75887)\"\" \"About 
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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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\n" ); document.write( "Let original dimensions be x by x
\n" ); document.write( "Then original area = x^2
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\n" ); document.write( "New Area = (x+3)^2 = x^2 + 6x+9
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\n" ); document.write( "Equations:
\n" ); document.write( "New area - old area = 49 sq ft
\n" ); document.write( "x^2+6x+9 - x^2 = 49
\n" ); document.write( "6x+9 = 49
\n" ); document.write( "6x = 40
\n" ); document.write( "x = 20/3 ft
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\n" ); document.write( "Original Area = x^2 = (20/3)^2 = 400/9 = 44.44 sq ft.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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