document.write( "Question 128616: Suppose that the length of a rectangle is 3 inches longer than the width and that the perimeter of the rectangle is 78.\r
\n" ); document.write( "\n" ); document.write( "A) Set up an equation involving only W, the width of the rectangle.\r
\n" ); document.write( "\n" ); document.write( "B) Solve this equation algebraically to find the length of the rectangle, find the width as well.\r
\n" ); document.write( "\n" ); document.write( "Length = Width =
\n" ); document.write( "

Algebra.Com's Answer #94095 by solver91311(24713)\"\" \"About 
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\n" ); document.write( "If the length measures 3 inches more than the width, and the width is w, then
\n" ); document.write( "the length is w + 3. We know that the perimeter of a rectangle is given by
\n" ); document.write( "\"P%5Br%5D=2l+%2B+2w\", so just substitute:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"P%5Br%5D=2%28w%2B3%29%2B2w\" and we are given that \"P%5Br%5D=78\"\r
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\n" ); document.write( "\n" ); document.write( "\"2%28w%2B3%29%2B2w=78\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Distribute the 2 and remove the parentheses:
\n" ); document.write( "\"2w%2B6%2B2w=78\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Collect like terms:
\n" ); document.write( "\"4w%2B6=78\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Add -6 to both sides:
\n" ); document.write( "\"4w=72\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "And divide by 4:
\n" ); document.write( "\"w=18\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The length is \"w+%2B+3=21\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "2 times 21 is 42, 2 times 18 is 36, and 42 plus 36 is 78. Answer checks. \n" ); document.write( "
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