The area of the parallelogram PQRS is 16 sq. units. If M is the mid-point of PQ, then the area of ΔQMR is :

1. 16 sq. units

2. 8 sq. units

3. 4 sq. units

4. 2 sq. units

ΔPQR and parallelogram PQRS, both have same base PQ and are between the same parallels PQ and SR.

Area of △PQR = $\dfrac{1}{2}$ Area of parallelogram PQRS

= $\dfrac{1}{2} \times 16$

= 8 sq.units.

M is the mid-point of PQ, QM = $\dfrac{1}{2}$ PQ

Thus, RM is the median of a triangle PQR, and divides it into two triangles of equal area.

Area of △QMR = $\dfrac{1}{2}$ Area of triangle PQR

= $\dfrac{1}{2} \times 8$

= 4 sq. units.

Hence, option 3 is the correct option.