document.write( "Question 1071028: Mrs. Roza painted the top of a retagular table. The perimeter is 18 feet. The area of the table is 20 square feet. Which of the following could be the length and width of the tabletop?\r
\n" ); document.write( "\n" ); document.write( "a. 2ft, 9ft
\n" ); document.write( "b. 10ft, 2ft
\n" ); document.write( "c. 4ft, 5ft
\n" ); document.write( "d. 9ft, 9ft\r
\n" ); document.write( "\n" ); document.write( "I am so confused on how to find the answer
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Algebra.Com's Answer #685953 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Find the dimensions from the given perimeter and area.\r
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\n" ); document.write( "\n" ); document.write( "\"system%282w%2B2L=18%2CwL=20%29\"\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-
\n" ); document.write( "\"system%28w%2BL=9%2CwL=20%29\"\r
\n" ); document.write( "\n" ); document.write( "\"L=9-w\"
\n" ); document.write( "-
\n" ); document.write( "\"w%289-w%29=20\"
\n" ); document.write( "\"-w%5E2%2B9w-20=0\"
\n" ); document.write( "\"w%5E2-9w%2B20=0\"
\n" ); document.write( "\"%28w-4%29%28w-5%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "The way this situation works, one of the dimensions is 4 feet and the other dimension is 5 feet. (If you were to first find w in terms of L and do the area formula substitution, you would have (L-4)(L-5)=0, so the same thing, same solutions - you might choose length as the bigger dimension.)
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