document.write( "Question 887147: The length of a rectangle is 2 m less than the diagonal and the width is 8 m less than the diagonal. If the area is 75 m2, how long is the diagonal? Round your answer to the nearest tenth. \n" ); document.write( "
Algebra.Com's Answer #536457 by lwsshak3(11628)\"\" \"About 
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The length of a rectangle is 2 m less than the diagonal and the width is 8 m less than the diagonal. If the area is 75 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-2=length of rectangle
\n" ); document.write( "x-8=width of rectangle
\n" ); document.write( "..
\n" ); document.write( "area of rectangle=length*width
\n" ); document.write( "(x-2)(x-8)=75
\n" ); document.write( "x^2-10x+16=75
\n" ); document.write( "x^2-10x-59=0
\n" ); document.write( "solve for x by quadratic formula:
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a=1, b=-10, c=-59
\n" ); document.write( "ans:
\n" ); document.write( "x=-4.2 (reject)
\n" ); document.write( "or
\n" ); document.write( "x=14.2
\n" ); document.write( "length of diagonal=14.2 m \r
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