A rectangular living room has a perimeter of 40 meters. Its area is 100 square meters. What are the dimensions of the living room?

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Step-by-step explanation:

Firstly, I presume that the question talks about a rectangle and there is consistency in units i.e.Area is in units^2 and perimeter is in units (else there is no possible solution).

Now, perimeter = 2(L+B) = 40

OR (L+B) = 20.

Also, area = LxB = 100.

Now, LxB = 100 will give you the following values for LxB (Note in a rectangle, L>B or L=B):- (100×1),(50×20),(25x4),(20×5),(10×10).

Only one value gives L+B = 20 viz.L=10 & B=10.

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step-by-step explanation:

there are infinitely many solutions.