document.write( "Question 1196634: the area of rectangular garden should be at least 250 square meters. If its length is 5 meters more than twice its width, find the range of the possible values for the lot's length and width. \n" ); document.write( "

Algebra.Com's Answer #829558 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Since the area is to be AT LEAST 250 square meters, you want to find the length and width for which the area is EXACTLY 250 square meters; then any larger length and width will satisfy the conditions of the problem.

\n" ); document.write( "The problem can be solved quickly by trial and error; 10*250 = 250, and 25 is 5 more than twice 10. So the minimum width and length are 10 and 25 meters.

\n" ); document.write( "For a formal algebraic solution....

\n" ); document.write( "x = width
\n" ); document.write( "2x+5 = length
\n" ); document.write( " $\"x%282x%2B5%29=250\"$
\n" ); document.write( " $\"2x%5E2%2B5x=250\"$
\n" ); document.write( " $\"2x%5E2%2B5x-250=0\"$
\n" ); document.write( " $\"%282x%2B25%29%28x-10%29=0\"$
\n" ); document.write( " $\"x=-25%2F2\"$ or $\"x=10\"$

\n" ); document.write( "Obviously the negative solution makes no sense in the actual problem, so the solution is x = 10.

\n" ); document.write( "ANSWER: The width can be anything equal to or greater than 10 meters.

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