document.write( "Question 663452: The length of a rectangle is 4 inches greater than twice its width. If the length and width are both increased by 2 in., its area is increased by 48in.^2 What is the width of the original rectangle? \n" ); document.write( "
Algebra.Com's Answer #412779 by ReadingBoosters(3246)\"\" \"About 
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l = 2w + 4
\n" ); document.write( "(l+2)(w+2)=area+48
\n" ); document.write( "area = (l)(w)
\n" ); document.write( "w(2w+4) = 2w^2 + 4w
\n" ); document.write( "Using (l+2)(w+2)=area + 48
\n" ); document.write( "(2w+4+2)(w+2) = 2w^2 + 4w + 48
\n" ); document.write( "(2w+6)(w+2) = 2w^2 + 4w + 48
\n" ); document.write( "2w^2 + 4w + 6w + 12 = 2w^2 + 4w + 48
\n" ); document.write( "2w^2 + 10w + 12 = 2w^2 + 4w + 48
\n" ); document.write( "2w^2 - 2w^2 + 10w - 4w =48 - 12
\n" ); document.write( "6w = 36
\n" ); document.write( "width = 6 in.
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\n" ); document.write( "Delighted to help.
\n" ); document.write( "-Reading Boosters
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