document.write( "Question 347735: 1)the length of a rectangular rug is 1 ft more than the width and a diagonal of the rug is 5 ft. Find the length and the width. 2) one leg of right triangle is 7 cm less than the length of the other leg. The length of the hypotenuse is 13 cm. Find the lengths of the legs \n" ); document.write( "
Algebra.Com's Answer #248642 by checkley77(12844)\"\" \"About 
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1) L=W+1
\n" ); document.write( "L^2+W^2=5^2
\n" ); document.write( "(W+1)^2+W^2=25
\n" ); document.write( "W^2+2W+1+W^2=25
\n" ); document.write( "2W^2+2W+1-25=0
\n" ); document.write( "2W^2+2W-24=0
\n" ); document.write( "2(W^2+W-12)=0
\n" ); document.write( "(W+4)(W-3)=0
\n" ); document.write( "W-3=0
\n" ); document.write( "W=3 ANS.
\n" ); document.write( "L=3+1=4 ANS.
\n" ); document.write( "PROOF:
\n" ); document.write( "4^2+3^2=5^2
\n" ); document.write( "16+9=25
\n" ); document.write( "25=25
\n" ); document.write( "
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