document.write( "Question 973872: The length of a rectangle is 3 m less than the diagonal and the width is 8 m less than the diagonal. If the area is 84 m2, how long is the diagonal? Round your answer to the nearest tenth. \n" ); document.write( "
Algebra.Com's Answer #595974 by lwsshak3(11628)\"\" \"About 
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The length of a rectangle is 3 m less than the diagonal and the width is 8 m less than the diagonal. If the area is 84 m2, how long is the diagonal? Round your answer to the nearest tenth.
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\n" ); document.write( "let x=length of diagonal
\n" ); document.write( "x-3=length of rectangle
\n" ); document.write( "x-8=width of rectangle
\n" ); document.write( "..
\n" ); document.write( "length*width=area
\n" ); document.write( "(x-3)(x-8)=84
\n" ); document.write( "x^2-11x+24=84
\n" ); document.write( "x^2-11x-60=0
\n" ); document.write( "(x-15)(x+4)=0
\n" ); document.write( "x=15
\n" ); document.write( "how long is the diagonal? 15 m
\n" ); document.write( "numbers do not check:
\n" ); document.write( "By the pythagorean theorem:
\n" ); document.write( "length^2+width^2=diagonal^2
\n" ); document.write( "12^2+7^2≠15^2
\n" ); document.write( "144+49≠15^2
\n" ); document.write( "193≠225 \n" ); document.write( "
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