document.write( "Question 860158: the width of a rectangular parking lot is 57 ft less than its length. determine the dimensions of the parking lot if it measures 250 ft diagonally. \n" ); document.write( "

Algebra.Com's Answer #518188 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( "Let x represent length.  Then width is (x-57)
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document.write( " x^2 + (x-57)^2 = 62500
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document.write( " 2x^2 - 114x + 3249 = 62500  
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document.write( "  2x^2 - 114x -59251 = 0
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document.write( "  ~203ft by 146
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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=487004 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: 202.964179704603, -145.964179704603.\n" );
document.write( "Here's your graph:
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