document.write( "Question 134498: The Length of a rectangle is 1 ft more than its width and 1 ft less than the length of a diagonal. Find the length of the diagonal in simplest radical form. \n" ); document.write( "
Algebra.Com's Answer #98381 by edjones(8007)\"\" \"About 
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We have a right triangle with the diagonal the hypotenuse.
\n" ); document.write( "a^2+b^2=c^2
\n" ); document.write( "Let the length be \"a\".
\n" ); document.write( "a=b+1
\n" ); document.write( "c=a+1=b+2
\n" ); document.write( "(b+1)^2+b^2=(b+2)^2
\n" ); document.write( "b^2+2b+1+b^2=b^2+4b+4
\n" ); document.write( "2b^2+2b+1=b^2+4b+4
\n" ); document.write( "b^2-2b-3=0 Subtract the right side from the left.
\n" ); document.write( "(b-3)(b+1)=0
\n" ); document.write( "b=3
\n" ); document.write( "b+2=5' Ans.
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