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)\"\" \"About 
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\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
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