document.write( "Question 923822: The perimeter of a rectangular garden is 22.5m...The area is 12.5m2 Find the dimensions of the garden. \n" ); document.write( "

Algebra.Com's Answer #560338 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi,
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document.write( "     .
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document.write( "The perimeter of a rectangular garden is 22.5m...The area is 12.5m^2
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document.write( "L + w = 11.25
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document.write( "L = (11.25-w)
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document.write( "A = Lw
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document.write( "(11.25-w)w = 12.5m^2
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document.write( "w^2 - 22.5w + 12.5 = 0
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document.write( "the dimensions of the garden: 21.93m by  0.57m
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document.write( "Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation  (in our case ) has the following solutons:
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document.write( "  For these solutions to exist, the discriminant  should not be a negative number.
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document.write( "  
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document.write( "  First, we need to compute the discriminant : .
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document.write( "  
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document.write( "  Discriminant d=456.25 is greater than zero. That means that there are two solutions: .
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document.write( "    Quadratic expression  can be factored:
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document.write( "  Again, the answer is: 21.9300046816469, 0.569995318353087.\n" );
document.write( "Here's your graph:
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