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)![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( " |