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

Question

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

KnowledgeBoat · Accepted Answer

ΔPQR and parallelogram PQRS, both have same base PQ and are between the same parallels PQ and SR. Area of △PQR = Area of parallelogram PQRS = = 8 sq.units. M is the mid-point of PQ, QM = PQ Thus, RM is the median of a triangle PQR, and divides it into two triangles of equal area. Area of △QMR = Area of triangle PQR = = 4 sq. units. Hence, option 3 is the correct option.

Mathematics

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

Theorems on Area

Related Questions

If the area of the parallelogram ABCD is 10 cm², then the area of ΔBCD is :
10 cm²
5 cm²
20 cm²
25 cm²

A triangle and a parallelogram, both having base 5 cm, are situated between the same parallels. If the height of the triangle is 4 cm, then the area of the parallelogram is :
20 cm²
40 cm²
10 cm²
5 cm²

ABCD is a rectangle and ABQC is a parallelogram. If the area of ΔABD is 5 sq. cm, then the area of the parallelogram is :
5 sq. cm
10 sq. cm
20 sq. cm
30 sq. cm

P and Q are two points on the side DC of a ∥ gm ABCD. If the area of ΔPAB is 10 cm², then the area of ΔQAB is :
5 cm²
10 cm²
15 cm²
20 cm²

Mathematics

The area of the parallelogram PQRS is 16 sq. units. If M is the mid-point of PQ, then the area of ΔQMR is :16 sq. units8 sq. units4 sq. units2 sq. units

Theorems on Area

Related Questions

If the area of the parallelogram ABCD is 10 cm2, then the area of ΔBCD is :10 cm25 cm220 cm225 cm2

A triangle and a parallelogram, both having base 5 cm, are situated between the same parallels. If the height of the triangle is 4 cm, then the area of the parallelogram is :20 cm240 cm210 cm25 cm2

ABCD is a rectangle and ABQC is a parallelogram. If the area of ΔABD is 5 sq. cm, then the area of the parallelogram is :5 sq. cm10 sq. cm20 sq. cm30 sq. cm

P and Q are two points on the side DC of a ∥ gm ABCD. If the area of ΔPAB is 10 cm2, then the area of ΔQAB is :5 cm210 cm215 cm220 cm2

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

If the area of the parallelogram ABCD is 10 cm², then the area of ΔBCD is :
10 cm²
5 cm²
20 cm²
25 cm²

A triangle and a parallelogram, both having base 5 cm, are situated between the same parallels. If the height of the triangle is 4 cm, then the area of the parallelogram is :
20 cm²
40 cm²
10 cm²
5 cm²

ABCD is a rectangle and ABQC is a parallelogram. If the area of ΔABD is 5 sq. cm, then the area of the parallelogram is :
5 sq. cm
10 sq. cm
20 sq. cm
30 sq. cm

P and Q are two points on the side DC of a ∥ gm ABCD. If the area of ΔPAB is 10 cm², then the area of ΔQAB is :
5 cm²
10 cm²
15 cm²
20 cm²