document.write( "Question 101992: The lenght of a rectangle is one inch less than twice its width. The diagonal of the rectangle is two inches more than its length. Find the area of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #74159 by edjones(8007)![]() ![]() You can put this solution on YOUR website! L=2W-1 \n" ); document.write( "c=diagonal and is the hypotenuse of a triangle with sides L and W \n" ); document.write( "c=2W+1 \n" ); document.write( "a^2+b^2=c^2 \n" ); document.write( "(2W-1)^2+W^2=(2W+1)^2 \n" ); document.write( "4W^2-4W+1+W^2=4W^2+4W+1 \n" ); document.write( "W^2-8W=0 \n" ); document.write( "W(W-8)=0 \n" ); document.write( "W=0, W=8 Since the rectangle can't have a width of 0 W=0 is not an answer. \n" ); document.write( "W=8 is the only answer. \n" ); document.write( "L=15 \n" ); document.write( "c=17 \n" ); document.write( "A=15*8=120sq inches (Answer) \n" ); document.write( "check: \n" ); document.write( "8^2+15^2=64+225=289 \n" ); document.write( "17^2=289 \n" ); document.write( "Ed \n" ); document.write( " \n" ); document.write( " |