# If a parallelogram with area P, a rectangle with area R and a triangle with area T are all constructed on eth same base and all have the same altitude, then which of the following statements is false? (a) P = R (b) P + T = 2R (c) P = 2T (d) T =  R

## Question ID - 50169 :- If a parallelogram with area P, a rectangle with area R and a triangle with area T are all constructed on eth same base and all have the same altitude, then which of the following statements is false? (a) P = R (b) P + T = 2R (c) P = 2T (d) T =  R

3537

Answer Key : (b) -

Let each base =  height =

Then, P =  R = , T =

So, P = R, P = 2T and T =  are all correct statements.

Next Question :

The Carrot engines A and B are operated in series.  The first one, A receives heat at T1(=600 K) and rejects to a reservoir at temperature T2.  The second engine B receives heat rejected by the first engine and, in turn, rejects to a heat reservoir at T­3(=400K).  Calculate the temperature T2 if the work outputs of the two engines are equal:

 a. 400k b. 600K c. 500K d. 300K