SOLUTION: A room is 2m longer than it is wide. If its area is 30cm2, what is its perimeter?

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Question 986989: A room is 2m longer than it is wide. If its area is 30cm2, what is its perimeter?
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
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L=length; W=width=L-2m; A=Area=0.003m^2; P=perimeter
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Solved by pluggable solver: SOLVE quadratic equation with variable
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=4.012 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 2.00149887668434, -0.00149887668434245. Here's your graph:

Length=2.0015 meter
Width=2.0015-2=0.0015 meter
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P=2(L+W)=2(2.0015m+0.0015)=2(2.003)=4.006 meters
ANSWER: The perimeter is 4.006 meters.
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CHECK:



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I think the problem was entered incorrectly.
A 30cm^2 room would be very small.
If the difference in length and width was in centimeters,
or the area was in square meters, you would get a different
result. Process would be the same.

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