← Back to topic
Vidaara.orgClass 6 · Mathematics
CodeVID-M06-05-TRI-01
Area of a Triangle - Assignment
Chapter: Area of Triangles & Parallelograms
Topic: Area of Triangle = ½ × 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 triangle is:
  • A.$b\times h$
  • B.$\tfrac12\times b\times h$
  • C.$b+h$
  • D.$2bh$
2.
For base $6$ and height $4$, the area is:
  • A.$10$
  • B.$12$
  • C.$24$
  • D.$14$
3.
The base and height of a triangle are:
  • A.parallel
  • B.perpendicular
  • C.equal
  • D.curved
4.
Area is measured in:
  • A.units
  • B.square units
  • C.cubic units
  • D.degrees
5.
Doubling the base ___ the area.
  • A.halves
  • B.doubles
  • C.triples
  • D.keeps
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 $12$, height $4$.
9.
A triangle has area $20$ and base $8$. Find its height.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the area of a triangle, base $14$ cm, height $9$ cm.
11.
A triangle has area $54$ cm$^2$ and base $12$ cm. Find its height.
12.
Find the area: base $7$, height $8$.
13.
A triangle has area $30$ cm$^2$ and height $5$ cm. Find its base.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A triangular garden has base $20$ m and height $15$ m. Find its area and the cost of grassing at Rs $12$ per m$^2$.
15.
A triangle has base $16$ cm and area $96$ cm$^2$. Find its height; if the base is halved and the area kept the same, find the new height.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $\tfrac12\times b\times h$
  2. (B) $12$
  3. (B) perpendicular
  4. (B) square units
  5. (B) doubles
Section B — Short Answer (2 marks)
  1. $20$.
  2. $30$.
  3. $24$.
  4. $5$.
Section C — Short Answer (3 marks)
  1. $63$ cm$^2$.
  2. $9$ cm.
  3. $28$.
  4. $12$ cm.
Section D — Long Answer (5 marks)
  1. Area $150$ m$^2$; cost Rs $1800$.
  2. Height $12$ cm; new height $24$ cm.
Generated by Vidaara.org · Assignment VID-M06-05-TRI-01 · vidaara.org