document.write( "Question 333874: Suppose that a rectangle has a perimeter of 20 meters. Express the area A(x) of the rectangle in terms of the length x of one of its sides. \n" ); document.write( "
Algebra.Com's Answer #239240 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Suppose that a rectangle has a perimeter of 20 meters. \n" ); document.write( " Express the area A(x) of the rectangle in terms of the length x of one of its sides. \n" ); document.write( ": \n" ); document.write( "Let w = the width, x = the length \n" ); document.write( ": \n" ); document.write( "2x + 2w = 20 \n" ); document.write( "Simplify, divide by 2 \n" ); document.write( "x + w = 10 \n" ); document.write( "w = (10-x) \n" ); document.write( ": \n" ); document.write( "Area \n" ); document.write( "A = x*w \n" ); document.write( "replace w with (10-x) \n" ); document.write( "A(x) = x(10-x) \n" ); document.write( "A(x) = -x^2 + 10x \n" ); document.write( " \n" ); document.write( " |