document.write( "Question 205155: I have a word problem that says: A rectangular scrapbook page has an area of 180 inches squared. If the length of the page is two less than twice the width, find the width of the page. \n" ); document.write( "
Algebra.Com's Answer #154875 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A rectangular scrapbook page has an area of 180 inches squared. \n" ); document.write( " If the length of the page is two less than twice the width, find the width of the page. \n" ); document.write( "; \n" ); document.write( "Let x = the width \n" ); document.write( "it says,\"the length of the page is two less than twice the width,\" therefore; \n" ); document.write( "(2x - 2) = the length \n" ); document.write( ": \n" ); document.write( "Area = width * length, = 180, therfore: \n" ); document.write( "x(2x - 2) = 180 \n" ); document.write( "2x^2 - 2x - 180 = 0 \n" ); document.write( "A quadratic equation, simplify, divide by 2 \n" ); document.write( "x^2 - x - 90 = 0 \n" ); document.write( "Factors to: \n" ); document.write( "(x-10)(x+9) = 0 \n" ); document.write( "the positive solution is what we want here \n" ); document.write( "x = 10\" is the width \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Is this true? \n" ); document.write( "Length = 2(10) - 2 = 18 \n" ); document.write( "18 * 10 = 180 \n" ); document.write( " |