document.write( "Question 100967This question is from textbook Algebra I
\n" ); document.write( ": The length of a rectangle is 4 in. greater than the width. The perimeter of the rectangle is 24 in. Find the dimensions of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #73485 by doukungfoo(195)\"\" \"About 
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perimeter of a rectangle is 2 times Length plus 2 times width
\n" ); document.write( "P=2L+2W
\n" ); document.write( "Lets set the width equal to x
\n" ); document.write( "Width = x
\n" ); document.write( "Given: length of a rectangle is 4 in. greater than the width
\n" ); document.write( "Express this in terms of x
\n" ); document.write( "Length = x + 4
\n" ); document.write( "Given: perimeter of the rectangle is 24 in.
\n" ); document.write( "Now we can use the perimeter formula to solve for x
\n" ); document.write( "P=2L+2W
\n" ); document.write( "\"24=2%28x%2B4%29%2B2%28x%29\" distribute 2 over each set of ()
\n" ); document.write( "\"24=2x%2B8%2B2x\" combine like terms
\n" ); document.write( "\"24=4x%2B8\" subtract 8 from both sides
\n" ); document.write( "\"16=4x\" divide both sides by 4
\n" ); document.write( "\"4=x\"
\n" ); document.write( "Answer: width is 4 inches
\n" ); document.write( "Now find length
\n" ); document.write( "Length = x + 4
\n" ); document.write( "Length = 4 + 4
\n" ); document.write( "Length = 8
\n" ); document.write( "Answer: legnth is 8 inches
\n" ); document.write( "Check answers
\n" ); document.write( "P=2L+2W
\n" ); document.write( "24 = 2(8) + 2(4)
\n" ); document.write( "24 = 16 + 8
\n" ); document.write( "24 = 24\r
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