Question

Ranjith has a field in the shape of parallelogram ABCD as shown in the figure. He knows area of triangular portions ABP and CDP are 200 $m^2$ and 300 $m^2$, where P is any point on edge AD. The area of the total field ABCD is 1500 $m^2$.

• A. True
• B. False

Answer 1

The correct option is B

False

Let the area of total field ABCD be ‘x’

Parallelogram ABCD and triangle PBC are on same base and between same parallels BC and AD .

So, Area(PBC) = x/2

Area(ABCD) = Area(APB) + Area(PDC) + Area(PBC)

x = 200+ 300 + x/2

So, Area(ABCD) = 1000 $m^2$

Hence, the given statement is False.