document.write( "Question 797181: If the perimeter of a rectangular garden is 76 m and the area is 360 square meters, what are the dimensions of the garden \n" ); document.write( "

Algebra.Com's Answer #481709 by Cromlix(4381) $\"\"$ $\"About$

You can put this solution on YOUR website!
Perimeter = 2*length + 2*width
\n" ); document.write( "Area = length*width
\n" ); document.write( "360 = l * w
\n" ); document.write( "length = 360/w
\n" ); document.write( "Perimeter = 2*length + 2*width
\n" ); document.write( "76 = 2*(360/w) + 2*w
\n" ); document.write( "76 = 720/w + 2w = 0
\n" ); document.write( "Common denominator = w
\n" ); document.write( "76w = 720 + 2w^2
\n" ); document.write( "2w^2 - 76w + 720 = 0
\n" ); document.write( "Divide by 2
\n" ); document.write( "w^2 - 38w + 360 = 0
\n" ); document.write( "(w - 18)(w - 20) = 0
\n" ); document.write( "Length either:
\n" ); document.write( "18m or 20m
\n" ); document.write( "Width either
\n" ); document.write( "20m or 18m
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-)
\n" ); document.write( " \n" ); document.write( "

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