document.write( "Question 1010622: 1. The perimeter of a rectangular banner is 72 inches. The width of the banner is 1/3 it's length. What is the area of the banner?
\n" ); document.write( "2. The perimeter of a rectangular patio is 80 feet. The width of the patio is 2/3 its length. What is the area of the patio?
\n" ); document.write( "3. The perimeter of a rectangular table is 132 inches. The length of the table is 1 3/4 times its width. What is the area of the table?
\n" ); document.write( "4. The perimeter of a rectangular poster is 84 inches. The length of the poster is 2 1/2 times its width. What is the area of the poster?
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Algebra.Com's Answer #626480 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
The four questions are all very much alike, except for the material of the rectangular piece and the values.\r
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\n" ); document.write( "\n" ); document.write( "Dimensions x and y.
\n" ); document.write( "Perimeter p is known.
\n" ); document.write( "x and y are related by some known factor, k.
\n" ); document.write( "y=kx, and either variable might be taken as width or length, depending on how the described specific problem is arranged.
\n" ); document.write( "Question asks for area, the value of xy.\r
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\n" ); document.write( "\n" ); document.write( "KNOWN: p, k
\n" ); document.write( "UNKNOWN: x, y\r
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\n" ); document.write( "\n" ); document.write( "Each of the four problems goes this way.
\n" ); document.write( "\"system%28p=2x%2B2y%2Cy=kx%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"p=2x%2B2%28kx%29\"
\n" ); document.write( "\"%282%2B2k%29x=p\"
\n" ); document.write( "\"highlight%28x=p%2F%282%2B2k%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Use x to solve for y.
\n" ); document.write( "\"y=kx\"
\n" ); document.write( "\"y=k%28p%2F%282%2B2k%29%29\"
\n" ); document.write( "\"highlight%28y=kp%2F%282%2B2k%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Finally, each of the questions asks for area, xy.
\n" ); document.write( "\"highlight_green%28%28kp%5E2%29%2F%282%2B2k%29%5E2%29\"
\n" ); document.write( "which you might want as
\n" ); document.write( "\"highlight%28%28kp%5E2%29%2F%284%281%2Bk%29%5E2%29%29\"
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