document.write( "Question 1170404: One side of a rectangular 72 square foot garden is 6 feet longer than the other side.\r
\n" ); document.write( "\n" ); document.write( "What are the dimensions of the garden, starting with the shorter length first?
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Algebra.Com's Answer #795290 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The other tutor didn't read the problem correctly....

\n" ); document.write( "The area is length times width; and the length is 6 (feet) longer than the width.

\n" ); document.write( "x = width
\n" ); document.write( "x+6 = length

\n" ); document.write( "The area is 72:

\n" ); document.write( "\"x%28x%2B6%29+=+72\"
\n" ); document.write( "\"x%5E2%2B6x+=+72\"
\n" ); document.write( "\"x%5E2%2B6x-72+=+0\"

\n" ); document.write( "To solve that, you need to factor the quadratic by finding two numbers whose product is 72 and whose difference is 6.

\n" ); document.write( "But that is what the original problem requires you to do.

\n" ); document.write( "So the formal algebra doesn't help you solve the problem; so (if a formal algebraic solution is not required) solve it mentally by finding two numbers that differ by 6 and have a product of 72: 6 and 12.

\n" ); document.write( "ANSWER: the garden is 6 by 12 feet.
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