document.write( "Question 611078: find the length and the width of a rectangle whose perimeter is 18 ft whose area is 20 square feet \n" ); document.write( "
Algebra.Com's Answer #384843 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! find the length and the width of a rectangle whose perimeter is 18 ft \n" ); document.write( "2L + 2W = 18 \n" ); document.write( "simplify, divide by 2 \n" ); document.write( "L + W = 9 \n" ); document.write( "L = (9-W) \n" ); document.write( ": \n" ); document.write( "whose area is 20 square feet \n" ); document.write( "L*W = 20 \n" ); document.write( "Replace L with (9-W) \n" ); document.write( "W(9-W) = 20 \n" ); document.write( "-W^2 + 9W - 20 = 0 \n" ); document.write( "Multiply by -1, easier to factor \n" ); document.write( "W^2 - 9W + 20 \n" ); document.write( "Factors to \n" ); document.write( "(W-4)(W-5) = 0 \n" ); document.write( "Two solutions \n" ); document.write( "W = 4 ft is width, then 5 ft is the Length \n" ); document.write( "and \n" ); document.write( "W = 5 ft is the width, then 4 ft is the Length \n" ); document.write( ": \n" ); document.write( " |