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Vidaara.orgClass 9 · Mathematics
CodeVID-M09-09-ARM-01
Meaning of Area - Assignment
Chapter: Areas of Parallelograms and Triangles
Topic: Meaning of Area
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.
Area is measured in:
  • A.units
  • B.square units
  • C.cubic units
  • D.degrees
2.
Congruent figures have:
  • A.equal areas
  • B.unequal areas
  • C.no area
  • D.equal angles only
3.
Figures with equal area are:
  • A.always congruent
  • B.not necessarily congruent
  • C.never congruent
  • D.always equal-sided
4.
The area of a figure equals the sum of the areas of its:
  • A.sides
  • B.parts
  • C.angles
  • D.diagonals
5.
The area of a region cannot be:
  • A.zero
  • B.negative
  • C.a fraction
  • D.large
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Do congruent figures have equal area?
7.
If two rectangles have area $12$, are they necessarily congruent?
8.
In what units is area measured?
9.
Find the area of a $4\times3$ rectangle.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
A figure is split into a $6$ and an $8$ square-unit part. Find its total area.
11.
Must equal-area figures be congruent?
12.
A square and a rectangle both have area $36$. Give possible dimensions of each.
13.
Two congruent triangles have areas in what ratio?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A rectangular field $40$ m by $30$ m has an internal path of area $200$ m$^2$. Find the area of the field excluding the path.
15.
A figure consists of a square of side $5$ with a triangle (base $5$, height $4$) on top. Find the total area.

Answer Key

Section A — Multiple Choice Questions
  1. (B) square units
  2. (A) equal areas
  3. (B) not necessarily congruent
  4. (B) parts
  5. (B) negative
Section B — Short Answer (2 marks)
  1. Yes.
  2. No.
  3. Square units.
  4. $12$.
Section C — Short Answer (3 marks)
  1. $14$.
  2. No.
  3. Square $6\times6$; rectangle e.g. $4\times9$.
  4. $1:1$.
Section D — Long Answer (5 marks)
  1. $1000$ m$^2$.
  2. $35$ sq units.
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