document.write( "Question 366601: if the dimension of a rectangle are such that the length is 3 inches more than the width. if the length were doubled and the width decrease by 1 inch, the area would be 50in square. what is the length and the width \n" ); document.write( "
Algebra.Com's Answer #261501 by amoresroy(361)![]() ![]() You can put this solution on YOUR website! Let L = the length of rectangle in inches \n" ); document.write( " W = the width of rectangle in inches\r \n" ); document.write( "\n" ); document.write( "L = W + 3\r \n" ); document.write( "\n" ); document.write( "2L(W-1) = 50\r \n" ); document.write( "\n" ); document.write( "Substitute L=W+3 in 2nd equation to express the 2nd equation in terms of W \n" ); document.write( "2(W+3)(W-1) = 50 \n" ); document.write( "(2W+6)(W-1) = 50 \n" ); document.write( "2W^2-2W+6W-6-50=0 \n" ); document.write( "Combine like terms and divide by 2 \n" ); document.write( "W^2+2W-28=0\r \n" ); document.write( "\n" ); document.write( "Solve by quadratic formula \n" ); document.write( "W = -2 +/- [4-4(1)(-28)]/2\r \n" ); document.write( "\n" ); document.write( "W = 4.385 \n" ); document.write( "L = 4.385 +3 = 7.385 \n" ); document.write( " |