← Back to topic
Vidaara.orgClass 6 · Mathematics
CodeVID-M06-05-PAR-01
Area of a Parallelogram - Assignment
Chapter: Area of Triangles & Parallelograms
Topic: Area of Parallelogram = base × height
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
The area of a parallelogram is:
  • A.$\tfrac12 bh$
  • B.$b\times h$
  • C.$b+h$
  • D.$2(b+h)$
2.
For base $6$ and height $4$, the area is:
  • A.$10$
  • B.$24$
  • C.$12$
  • D.$20$
3.
The height is ___ to the base.
  • A.parallel
  • B.perpendicular
  • C.equal
  • D.curved
4.
A triangle on the same base/height has ___ the parallelogram's area.
  • A.equal
  • B.half
  • C.twice
  • D.a quarter
5.
Area is measured in:
  • A.units
  • B.square units
  • C.cubic units
  • D.degrees
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the area: base $8$, height $5$.
7.
Find the area: base $10$, height $6$.
8.
Find the area: base $7$, height $4$.
9.
A parallelogram has area $48$ and base $6$. Find its height.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the area of a parallelogram, base $15$, height $8$.
11.
A parallelogram has area $72$ cm$^2$ and base $9$. Find its height.
12.
Find the area: base $12$, height $5$.
13.
A parallelogram has area $60$ and height $5$. Find the base.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A parallelogram has base $18$ cm and height $11$ cm. Find its area.
15.
A parallelogram has area $144$ cm$^2$ and base $16$ cm. Find its height, and the area of a triangle on the same base and height.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $b\times h$
  2. (B) $24$
  3. (B) perpendicular
  4. (B) half
  5. (B) square units
Section B — Short Answer (2 marks)
  1. $40$.
  2. $60$.
  3. $28$.
  4. $8$.
Section C — Short Answer (3 marks)
  1. $120$.
  2. $8$ cm.
  3. $60$.
  4. $12$.
Section D — Long Answer (5 marks)
  1. $198$ cm$^2$.
  2. Height $9$ cm; triangle $72$ cm$^2$.
Generated by Vidaara.org · Assignment VID-M06-05-PAR-01 · vidaara.org