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