document.write( "Question 458324: The area of a rectangular wall of a barn is 108 square feet. Its length is 6 feet longer than twice its width. Find the length and width of the wall of the barn? \n" ); document.write( "
Algebra.Com's Answer #314405 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! L * W = 108 sq ft \n" ); document.write( "Length is 6 ft greater than twice the width. \n" ); document.write( "L = 2W + 6 \n" ); document.write( "Substituting \n" ); document.write( "(2W+6)*W = 108 \n" ); document.write( "2W^2 + 6W = 108 \n" ); document.write( "Divide both sides by 2 \n" ); document.write( "W^2 + 3W = 54 \n" ); document.write( "W^2 + 3W - 54 = 0 \n" ); document.write( "Factor \n" ); document.write( "(W +9)(W -6) = 0 \n" ); document.write( "Roots are W=-9 and W=6. \n" ); document.write( "A negative width is impossible, so W=6 \n" ); document.write( "L = 2W + 6 \n" ); document.write( "L = 2(6) + 6 \n" ); document.write( "L = 18 \n" ); document.write( ". \n" ); document.write( "Always check your answer. \n" ); document.write( "L*W = ?? \n" ); document.write( "18 * 6 = 108 \n" ); document.write( "Correct. \n" ); document.write( ". \n" ); document.write( "Done \n" ); document.write( " |