Question

In parallelogram MNOP, X is a point in the interior such that ar (ΔPOX) + ar (ΔMXN) = 10cm². Calculate the area of parallelogram MNOP.

Plz include the diagram in your answer & provide complete steps with proper justification.

Answer 1

I think you have understand. for any doubts ask me

Answer 2

Construction:-
AB || MN is drawn passing through x

We know
Area of a parallelogram = 2(area of a triangle)
When the both the ||gm and the triangle have same base and lie within the same parallels

Area of ||gm AMNB
= 2(area of XMN)

Area of ||gm ABOP
=2(area of PXO)

Area of ||gm PMNO
= area of ||gm AMNB
+area of ||gm ABOP

= 2(area of XMN)+ 2(area of PXO)
=2(area of XMN + area of PXO)
=2(10) cm^2
=20 cm^2