document.write( "Question 37875: the length of a rectangle is 3 feet less than twice the width. If the area is 77 sq feet, then solve a quadratic equation to find the length and width. \n" ); document.write( "
Algebra.Com's Answer #23394 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! From the info in the problem, \n" ); document.write( "L = 2W - 3 \n" ); document.write( "We know the formula for the area is \n" ); document.write( "A = LW and it equals 77, so now substitute in for L and solve: \n" ); document.write( "A = LW = 77 \n" ); document.write( "(2W - 3)W = 77 \n" ); document.write( "2W^2 - 3W - 77 = 0 \n" ); document.write( "(2W + 11)(w - 7) = 0 \n" ); document.write( "W = -11/2 or W = 7 \n" ); document.write( "Length can't be negative, so W = 7. \n" ); document.write( "L = 2W - 3 = 2(7) - 3 = 11 \n" ); document.write( " |