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Vidaara.orgClass 6 · Mathematics
CodeVID-M06-05-IRR-01
Area of Irregular Polygons - Assignment
Chapter: Area of Triangles & Parallelograms
Topic: Area of Irregular Polygons by Composing/Decomposing
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.
To find an irregular polygon's area, split it into:
  • A.points
  • B.known shapes
  • C.angles
  • D.lines
2.
The total area is the ___ of the parts.
  • A.product
  • B.sum
  • C.difference
  • D.average
3.
To find a remaining area, you ___ the removed region.
  • A.add
  • B.subtract
  • C.multiply
  • D.ignore
4.
You can ___ figures to find area.
  • A.only add
  • B.compose or decompose
  • C.rotate only
  • D.shrink
5.
When adding areas, use the same:
  • A.shape
  • B.unit
  • C.colour
  • D.angle
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
A figure splits into a $6$ and an $8$ sq-unit part. Find the total.
7.
A shape is a $5\times4$ rectangle and a triangle of area $6$. Find the total.
8.
To find an irregular area, split it into:
9.
A $10\times6$ rectangle with a $4\times3$ piece removed has area:
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
An L-shape is an $8\times5$ rectangle with a $3\times2$ rectangle removed. Find the area.
11.
A figure is a $10\times6$ rectangle plus a triangle (base $10$, height $4$). Find the total area.
12.
A square of side $6$ has a triangle (base $6$, height $4$) on top. Find the total area.
13.
Find the area of a path between an outer $14\times10$ and an inner $12\times8$ rectangle.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A garden is a rectangle $12$ m $\times$ $8$ m with a triangular section (base $8$ m, height $6$ m) attached on one side. Find the total area.
15.
A rectangular sheet $20$ cm $\times$ $12$ cm has a $6$ cm $\times$ $4$ cm rectangle cut out. Find the remaining area.

Answer Key

Section A — Multiple Choice Questions
  1. (B) known shapes
  2. (B) sum
  3. (B) subtract
  4. (B) compose or decompose
  5. (B) unit
Section B — Short Answer (2 marks)
  1. $14$.
  2. $26$.
  3. Known shapes.
  4. $48$.
Section C — Short Answer (3 marks)
  1. $34$.
  2. $80$.
  3. $48$.
  4. $44$.
Section D — Long Answer (5 marks)
  1. $120$ m$^2$.
  2. $216$ cm$^2$.
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