SOLUTION: a rectangular plot ground is 10 meters longer than it is wide its area is 20,000 square meters

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Question 862671: a rectangular plot ground is 10 meters longer than it is wide its area is 20,000 square meters

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
a rectangular plot ground is 10 meters longer than it is wide its area is 20,000 square meters
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ok, thx for letting us know.
Do you have a question?
I can solve for length and width, maybe you're too shy to ask for that.
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L*W = 20000
L = W + 10
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(W+10)*W = 20000
W^2 + 10W - 20000 = 0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=80100 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 136.509716980849, -146.509716980849. Here's your graph:

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W =~ 136.51 meters
L =~ 146.51 meters
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