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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " \n" ); document.write( " |