Vidaara.orgClass 9 · Mathematics
CodeVID-M09-24-PLN-01
Area & Perimeter of Plane Figures - Assignment
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 of a rectangle $=$
- A.$l+b$
- B.$l\times b$
- C.$2(l+b)$
- D.$\tfrac12 lb$
2.
Perimeter of a rectangle $=$
- A.$l\times b$
- B.$2(l+b)$
- C.$l+b$
- D.$4l$
3.
Area of a square $=$
- A.$4a$
- B.$a^2$
- C.$2a$
- D.$a^3$
4.
Area of a circle $=$
- A.$2\pi r$
- B.$\pi r^2$
- C.$\pi d$
- D.$\pi r$
5.
Circumference of a circle $=$
- A.$\pi r^2$
- B.$2\pi r$
- C.$\pi r$
- D.$4r$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Find the area of a rectangle $8$ by $5$.
7.
Find the perimeter of a rectangle $8$ by $5$.
8.
Find the area of a square of side $6$.
9.
Find the area of a circle of radius $7$ ($\pi=\tfrac{22}{7}$).
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Find the area and perimeter of a rectangle $15$ cm by $10$ cm.
11.
Find the circumference of a circle of radius $14$ ($\pi=\tfrac{22}{7}$).
12.
The area of a square is $81$ cm$^2$. Find its perimeter.
13.
Find the area of a triangle with base $10$ and height $12$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
A rectangular park is $50$ m by $30$ m. Find its area and the cost of fencing at Rs $20$ per metre.
15.
A circular garden has radius $21$ m. Find its area and circumference ($\pi=\tfrac{22}{7}$).
Answer Key
Section A — Multiple Choice Questions
- (B) $l\times b$
- (B) $2(l+b)$
- (B) $a^2$
- (B) $\pi r^2$
- (B) $2\pi r$
Section B — Short Answer (2 marks)
- $40$.
- $26$.
- $36$.
- $154$.
Section C — Short Answer (3 marks)
- Area $150$ cm$^2$; perimeter $50$ cm.
- $88$.
- $36$ cm.
- $60$.
Section D — Long Answer (5 marks)
- Area $1500$ m$^2$; cost Rs $3200$.
- Area $1386$ m$^2$; circumference $132$ m.
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