document.write( "Question 964519: The length of rectangle is 5cm less than three times its width. If the area of the rectangle is 22cm^2, find the dimensions of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #589380 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The length of rectangle is 5cm less than three times its width. If the area of the rectangle is 22cm^2, find the dimensions of the rectangle. \n" ); document.write( "----- \n" ); document.write( "width = W \n" ); document.write( "length = 3W-5 \n" ); document.write( "------ \n" ); document.write( "Area = length*width \n" ); document.write( "22 = W(3W-5) \n" ); document.write( "3W^2 - 5W - 22 = 0 \n" ); document.write( "------- \n" ); document.write( "3W^2 - 11W+6W - 22 = 0 \n" ); document.write( "W(3W-11)+2(3W-11) = 0 \n" ); document.write( "(3W-11)(W+2) = 0 \n" ); document.write( "Positive solution: \n" ); document.write( "W = 11/3 = 3 1/3 cm (width) \n" ); document.write( "L = 3(11/3)-5 = 11-5 = 6cm (length) \n" ); document.write( "---------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------- \n" ); document.write( " |