document.write( "Question 913316: The perimeter of a rectangle is 32m. The length of the diagonal is 8 m more than its width. Find the dimensions of the rectangle. \n" ); document.write( "

Algebra.Com's Answer #554429 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( "L + w = 16 
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document.write( "L = 16-w
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document.write( "Pythagorean Theorem
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document.write( "(16-w)^2 + w^2 = (w+8)^2
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document.write( "256 - 32w + w^2 + w^2 = w^2 + 16w + 64
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document.write( "w^2 -48w +192 = 0
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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( "  First, we need to compute the discriminant : .
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document.write( "  Discriminant d=1536 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: 43.5959179422654, 4.40408205773458.\n" );
document.write( "Here's your graph:
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