Question

Area of ΔPMQ = 72 cm², Area of || gm LMNO =

Options

• `1/2` area LMNQ

• 108 cm²

• 144 cm²

• 72 cm²

Answer 1

144 cm²

Explanation:

We are given:

• ΔPMQ has area 72 cm²
• LMNO is a parallelogram
• Area of parallelogram LMNO

Step 1: Relationship between triangle and parallelogram

• In any parallelogram, a triangle formed by connecting a vertex to the opposite side (or diagonal) has area = `1/2` area of the parallelogram.
• That is Area of triangle = `1/2` × Area of parallelogram

Step 2: Apply formula

Given Area(ΔPMQ) = 72 cm², which is half of LMNO:

Area(LMNO) = 2 × 72 = 144 cm²