document.write( "Question 1079544: A rectangular garden is to be fenced using the wall of a house as one side of the
\n" ); document.write( " garden.the garden should have an area of 40mē. Determine the minimum perimeter and dimensions of the garden
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Algebra.Com's Answer #693801 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let the side parallelto the house = \"+y+\"
\n" ); document.write( "Let each of the other 2 sides = \"+x+\"
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\n" ); document.write( "Equation for area:
\n" ); document.write( "\"+x%2Ay+=+40+\" m2
\n" ); document.write( "\"+y+=+40%2Fx+\"
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\n" ); document.write( "Let \"+P+\" = the perimeter of the 3 walls
\n" ); document.write( "\"+P+=+40%2Fx+%2B+2x+\"
\n" ); document.write( "First I'll show a plot of \"+P+\"
\n" ); document.write( "\"+graph%28+400%2C+400%2C+-10%2C+10%2C+-3%2C+30%2C+40%2Fx+%2B+2x+%29+\"
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\n" ); document.write( "Assuming this is a calculus problem,
\n" ); document.write( "I'll find the derivative:
\n" ); document.write( "\"+Q+=+-40%2Fx%5E2+%2B+2+\"
\n" ); document.write( "Find where the slope = 0
\n" ); document.write( "\"+-40%2Fx%5E2+%2B+2+=+0+\"
\n" ); document.write( "\"+40%2Fx%5E2+=+2+\"
\n" ); document.write( "\"+2x%5E2+=+40+\"
\n" ); document.write( "\"+x%5E2+=+20+\"
\n" ); document.write( "\"+x+=+4.472+\"
\n" ); document.write( "and
\n" ); document.write( "\"+y+=+40%2Fx+\"
\n" ); document.write( "\"+y+=+40%2F4.472+\"
\n" ); document.write( "\"+y+=+8.944+\"
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\n" ); document.write( "The dimensions are 4.472 x 8.944
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\n" ); document.write( "The minimum perimeter is:
\n" ); document.write( "\"+P+=+40%2Fx+%2B+2x+\"
\n" ); document.write( "\"+P+=+8.944+%2B+8.944+\"
\n" ); document.write( "\"+P%5Bmin%5D+=+17.89+\" m
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\n" ); document.write( "check the math & possibly get another opinion
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