Question

ABCD is a parallelogram. p is any point on CD. if ar (DPA) = 18cm² and ar(APC)=30cm²,find the area of APB​

Answer 1

Step-by-step explanation:

ANSWER

area (DPA)=15 cm

2

area (APC)=20 cm

2

area (APB)=?

area of △ACD=(15+20) cm

2

=35 cm

2

Now in a parallelogram opp sides are equal.

∴CD=AB

also AB∥CD

Now, we know,

triangles having same base and lie with same ∥ have same area

area of △ABP= area of △ACD

=35 cm.