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Vidaara.orgClass 4 · Mathematics
CodeVID-M04-06-REL-01
Area & Perimeter Relationship - Assignment
Chapter: Area and Perimeter Formulas
Topic: Relationship Between Area and Perimeter
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.
Two shapes can have the same perimeter but different:
  • A.names
  • B.areas
  • C.colours
  • D.sides
2.
Two shapes can have the same area but different:
  • A.perimeters
  • B.names
  • C.colours
  • D.angles
3.
Perimeter is a ___; area is a surface.
  • A.length
  • B.volume
  • C.weight
  • D.time
4.
Area is measured in:
  • A.cm
  • B.cm$^2$
  • C.cm$^3$
  • D.m
5.
For a fixed perimeter, the largest area comes from a:
  • A.thin rectangle
  • B.square
  • C.triangle
  • D.line
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the area and perimeter of a $6\times2$ rectangle.
7.
Find the area and perimeter of a $4\times4$ square.
8.
Do a $6\times2$ rectangle and a $4\times4$ square have the same perimeter?
9.
Which has the larger area, the $6\times2$ rectangle or the $4\times4$ square?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the area of an $8\times2$ rectangle and a $5\times5$ square.
11.
Both shapes above have perimeter $20$. Which has the larger area?
12.
Find the perimeter of a $9\times1$ rectangle and a $5\times5$ square. Do they match?
13.
Of all rectangles with perimeter $20$, which gives the largest area?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Three rectangles have perimeter $24$ cm: $1\times11$, $4\times8$ and $6\times6$. Find each area and say which is largest.
15.
A $12$ cm $\times$ $3$ cm rectangle and a square have the same area. Find the side of the square.

Answer Key

Section A — Multiple Choice Questions
  1. (B) areas
  2. (A) perimeters
  3. (A) length
  4. (B) cm$^2$
  5. (B) square
Section B — Short Answer (2 marks)
  1. Area $12$; perimeter $16$.
  2. Area $16$; perimeter $16$.
  3. Yes (both $16$).
  4. The square.
Section C — Short Answer (3 marks)
  1. $16$ and $25$.
  2. The square ($25$).
  3. Both $20$ — yes.
  4. The $5\times5$ square.
Section D — Long Answer (5 marks)
  1. $11$, $32$, $36$ — the $6\times6$ square is largest.
  2. Area $36$; side $6$ cm.
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