document.write( "Question 552394: A rectangular patio is 12 feet long and 8 feet wide. The owner wants to increase both dimensions by the same amount resulting in a patio that has an area of 221 sq. ft. Write and solve an equation to find out how much the owner should increase each dimension. \n" ); document.write( "
Algebra.Com's Answer #360274 by mananth(16946)\"\" \"About 
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width =8
\n" ); document.write( "length = 12\r
\n" ); document.write( "\n" ); document.write( "increase both by same amount x
\n" ); document.write( "8 +x & 12 +x\r
\n" ); document.write( "\n" ); document.write( "Area = L*W\r
\n" ); document.write( "\n" ); document.write( "Area = 221 sq. ft
\n" ); document.write( "221= (8+x)(12+x)\r
\n" ); document.write( "\n" ); document.write( "221 = 96 +8x+12x+x^2\r
\n" ); document.write( "\n" ); document.write( "221-96=x^2+20x
\n" ); document.write( "125=x^2+20x
\n" ); document.write( "x^2+20x-125=0
\n" ); document.write( "x^2+25x-5x-125=0
\n" ); document.write( "x(x+25)-5(x+25)=0
\n" ); document.write( "(x+25)(x-5)=0
\n" ); document.write( "x=5 OR -25
\n" ); document.write( "neglect the negative
\n" ); document.write( "x= 5 the width increase\r
\n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca
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