document.write( "Question 846807: One side of a square is increased by 7 𝑓𝑡 and the other side of the square is decrease by 10 𝑓𝑡. The area of the new figure is 110 𝑓𝑡2. Find the length of a side of the original square \n" ); document.write( "
Algebra.Com's Answer #509990 by ankor@dixie-net.com(22740)\"\" \"About 
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One side of a square is increased by 7 𝑓𝑡 and the other side of the square is decrease by 10 𝑓𝑡.
\n" ); document.write( " The area of the new figure is 110 𝑓𝑡2.
\n" ); document.write( " Find the length of a side of the original square
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\n" ); document.write( "Let x = the side of the original square
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\n" ); document.write( "New area equation
\n" ); document.write( "(x+7)*(x-10) = 110
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 - 10x + 7x - 70 = 110
\n" ); document.write( "x^2 - 3x - 70 - 110 = 0
\n" ); document.write( "x^2 - 3x - 180 = 0; our old friend, the quadratic equation!
\n" ); document.write( "Factors to
\n" ); document.write( "(x-15)((x+12) = 0
\n" ); document.write( "the positive solution is all we want here
\n" ); document.write( "x = 15 ft is the side of square
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\n" ); document.write( "Check this: 22 * 5 = 110
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