document.write( "Question 988596: the length of a rectangle is 5 cm greater than its width. the area is 500 square cm. find the dimensions of the rectangle \n" ); document.write( "
Algebra.Com's Answer #609109 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "W=width; L=length=W+5cm \n" ); document.write( ". \n" ); document.write( "LW=500cm^2 Substitute for L. \n" ); document.write( "(W+5cm)(W)=500cm^2 \n" ); document.write( "W^2+5W=500 \n" ); document.write( "W^2+5W-500=0 \n" ); document.write( "(W+25)(W-20)=0 \n" ); document.write( "W+25=0 OR W-20=0 \n" ); document.write( "W=-25 OR W=20 \n" ); document.write( "Since -25 does not work: \n" ); document.write( "ANSWER 1: The width is 20 cm. \n" ); document.write( ". \n" ); document.write( "L=W+5cm=20cm+5cm=25cm \n" ); document.write( "ANSWER 2: The length is 25 cm. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "Area is 500cm^2: \n" ); document.write( ". \n" ); document.write( "A=LW \n" ); document.write( "500cm^2=(25cm)(20cm) \n" ); document.write( "500cm^2=500cm^2 \n" ); document.write( " |