document.write( "Question 704645: The perimeter of a rectangle is 36 inches, and the area is 77 square inches. Find the length and width of the rectangle \n" ); document.write( "
Algebra.Com's Answer #434197 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Perimeter = 2(L+W)\r \n" ); document.write( "\n" ); document.write( "2(L+W) = 36 \n" ); document.write( "L+W= 18\r \n" ); document.write( "\n" ); document.write( "Area = 77 in^2\r \n" ); document.write( "\n" ); document.write( "area = L*W\r \n" ); document.write( "\n" ); document.write( "L*W= 77 \n" ); document.write( "L= 77/W\r \n" ); document.write( "\n" ); document.write( "substitute L in first equation\r \n" ); document.write( "\n" ); document.write( "77/W + W = 18\r \n" ); document.write( "\n" ); document.write( "multiply by W \n" ); document.write( "77+W^2= 18W\r \n" ); document.write( "\n" ); document.write( "W^2-18W+77=0 \n" ); document.write( "W^2-11W-7W+77=0 \n" ); document.write( "W(W-11)-7(W-11) =0\r \n" ); document.write( "\n" ); document.write( "(W-11)(W-7)=0\r \n" ); document.write( "\n" ); document.write( "therefore the dimensions are 7& 11 m \n" ); document.write( " |