Question

In ΔABC, P, M and N are mid points of sides AB, BC and AC. If area of ΔABC = 120 cm², Area of || gm APMN =

Options

• 60 cm²

• 72 cm²

• 75 cm²

• 80 cm²

Answer 1

60 cm² 

Explanation:

We are given:

• ΔABC with P, M, N as midpoints of AB, BC, AC
• Area(ΔABC) = 120 cm²
• APMN is a parallelogram formed inside ΔABC (joining midpoints)
• Find Area(ABCD)

Step 1: Recall the midpoint theorem

• Connecting midpoints in a triangle forms a parallelogram inside the triangle
• Area of parallelogram formed by joining midpoints = `1/2` × area of triangle

Step 2: Apply the formula

`"Area"(APMN) = 1/2 xx "Area"(ΔABC)`

= `1/2 xx 120`

= 60 cm²