Question

Find the area of parallelogram ABCD, if AD = 15 cm and P is a point on BC such that AP = 9 cm. Also find the area of parallelogram ABQR, where Q and R are points on CD produced.

Answer 1

Given:

• AD = 15 
• AP = 9 cm, where P is a point on BC
• AP ⊥ BC
• Q and R are on CD produced, forming parallelogram ABQR

In parallelogram ABCD:

Base AB = 12 

Height AP = 9 cm (perpendicular from A to BC)

Area of ABCD = AB × AP

= 12 × 9

= 108 cm²

Since ABQR lies on the same base AB and between the same parallels as ABCD:

Area of ABQR = Area of ABCD = 108 cm²