If a parallelogram with area P, a rectangle with area R and a triangle with area T are all constructed on the same base and all have the same altitude, then which of the following statements is false ?

Answer: Option B

Let each have base = b and height = h
Then,
P = b × h, R = b × h, T = $$\frac{1}{2}$$ × b × h
So, P = R, P = 2T and T = $$\frac{1}{2}$$R, are all correct statements.
∴ Option B is false