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)\"\" \"About 
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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
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