document.write( "Question 249326: If one side of a square is increased by 2 inches and an adjacent side is decreased by 2 inches, the area of the resulting rectangle is 32 square inches. Find one side of the square. \n" ); document.write( "

Algebra.Com's Answer #181590 by checkley77(12844) $\"\"$ $\"About$

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(x+2)(x-2)=32
\n" ); document.write( "x^2+2x-2x-4=32
\n" ); document.write( "x^2-4-32=0
\n" ); document.write( "x^2-36=0
\n" ); document.write( "(x+6)(x-6)=0
\n" ); document.write( "x-6=0
\n" ); document.write( "x=6 the length of the original side of the square.
\n" ); document.write( "Proof:
\n" ); document.write( "(6+2)(6-2)=32
\n" ); document.write( "8*4=32
\n" ); document.write( "32=32
\n" ); document.write( " \n" ); document.write( "

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