document.write( "Question 640428: 3) The length of a rectangle is 2 in. more than the width. If the length and width are each increased by 3 in., the perimeter of the new rectangle will be 4 in. less than 8 times the width of the original rectangle. Find the original dimensions of the rectangle.\r
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Algebra.Com's Answer #403247 by ankor@dixie-net.com(22740)\"\" \"About 
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The length of a rectangle is 2 in. more than the width.
\n" ); document.write( " If the length and width are each increased by 3 in., the perimeter of the
\n" ); document.write( " new rectangle will be 4 in. less than 8 times the width of the original rectangle.
\n" ); document.write( " Find the original dimensions of the rectangle.
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\n" ); document.write( "Just write equation for what it says, step-by-step
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\n" ); document.write( "\"The length of a rectangle is 2 in. more than the width.\"
\n" ); document.write( "L = (W+2)
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\n" ); document.write( "\"If the length and width are each increased by 3 in.\"
\n" ); document.write( "(L+3) and (W+3)
\n" ); document.write( "\"the perimeter of the new rectangle will be 4 in. less than 8 times the
\n" ); document.write( " width of the original rectangle.
\n" ); document.write( "2(L+3) + 2(W+3) = 8W - 4
\n" ); document.write( "2L + 6 + 2W + 6 = 8W - 4
\n" ); document.write( "2L + 12 = 8W - 2W - 4
\n" ); document.write( "2L = 6W - 4 - 12
\n" ); document.write( "2L = 6W - 16
\n" ); document.write( "simplify, divide by 2
\n" ); document.write( "L = 3W - 8
\n" ); document.write( "We know L = (W+2), therefore
\n" ); document.write( "w + 2 = 3W - 8
\n" ); document.write( "2 + 8 = 3W - W
\n" ); document.write( "10 = 2W
\n" ); document.write( "W = 10/2
\n" ); document.write( "W = 5 in is the original width
\n" ); document.write( "then
\n" ); document.write( "5+2 = 7 in is the original length
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\n" ); document.write( "Confirm this by using these values in the statement
\n" ); document.write( "\"the perimeter of the new rectangle will be 4 in. less than 8 times the width of the original rectangle.\"
\n" ); document.write( " 2(7+3)) + 2(5+3) = 8(5) - 4
\n" ); document.write( "20 + 16 = 40 - 4
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