document.write( "Question 181663: A garden is 3 feet by 5 feet. How much will each side have to be increased in order to increase the area by 20 feet squared? \n" ); document.write( "
Algebra.Com's Answer #136334 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A garden is 3 feet by 5 feet. How much will each side have to be increased in order to increase the area by 20 feet squared? \n" ); document.write( ": \n" ); document.write( "Find original area: 3 * 5 = 15 sq/ft \n" ); document.write( "Then new area = 15 + 20 = 35 sq/ft \n" ); document.write( ": \n" ); document.write( "Add x ft to each dimension to make it equal 35 sq/ft \n" ); document.write( "(x+3)*(x+5) = 35 \n" ); document.write( "FOIL \n" ); document.write( "x^2 + 5x + 3x + 15 = 35 \n" ); document.write( ": \n" ); document.write( "x^2 + 8x + 15 - 35 = 0 \n" ); document.write( ": \n" ); document.write( "x^2 + 8x - 20 = 0 \n" ); document.write( "Factors to \n" ); document.write( "(x+10)(x-2) = 0 \n" ); document.write( ": \n" ); document.write( "only the positive solution will make sense here \n" ); document.write( "x = 2 ft added to each dimension \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check: (2+3) (2+5) = 35 sq/ft which is an increase of 20 sq/ft \n" ); document.write( " |