In Class 6 Maths, Chapter 6, Perimeter and Area, lets revise how to calculate the boundary and surface space of different shapes. Lets also solve selected multiple-choice questions with four options and answers to check your understanding of key concepts and examples. Finally practice fill-in-the-blank questions that test your memory of formulas, definitions, and important details. Prepare, revise, and test yourself for exams!
Class 6 Maths Chapter 6 MCQ Perimeter and Area
Question 1: What is the perimeter of a polygon?
a) Product of length and breadth
b) Sum of the lengths of all its sides
c) Half of the area of the polygon
d) Difference of its diagonals
Answer:
b) Sum of the lengths of all its sides
Question 2: Which formula is used to find the perimeter of a rectangle?
a) 2 × length × breadth
b) length × breadth
c) 2 × (length + breadth)
d) length + breadth
Answer:
c) 2 × (length + breadth)
Question 3: If the side of a square is 5 cm, its perimeter is ___.
a) 10 cm
b) 15 cm
c) 20 cm
d) 25 cm
Answer:
c) 20 cm
Question 4: The perimeter of a triangle with sides 7 cm, 8 cm, and 9 cm is ___.
a) 21 cm
b) 22 cm
c) 24 cm
d) 25 cm
Answer:
c) 24 cm
Question 5: A rectangular park is 150 m long and 120 m wide. What is its perimeter?
a) 540 m
b) 520 m
c) 5400 m
d) 54000 m
Answer:
a) 540 m
Question 6: If the perimeter of a square is 48 cm, what is the length of one side?
a) 8 cm
b) 10 cm
c) 12 cm
d) 16 cm
Answer:
c) 12 cm
Question 7: Which of the following figures always has equal sides and equal angles?
a) Rectangle
b) Regular polygon
c) Rhombus
d) Parallelogram
Answer:
b) Regular polygon
Question 8: The perimeter of an equilateral triangle of side 15 cm is ___.
a) 30 cm
b) 45 cm
c) 60 cm
d) 75 cm
Answer:
b) 45 cm
Question 9: What is the formula for the area of a rectangle?
a) length + breadth
b) 2 × (length + breadth)
c) length × breadth
d) length ÷ breadth
Answer:
c) length × breadth
Question 10: The area of a square of side 9 cm is ___.
a) 18 sq cm
b) 27 sq cm
c) 36 sq cm
d) 81 sq cm
Answer:
d) 81 sq cm
Question 11: A floor is 12 m long and 10 m wide. What is its area?
a) 120 sq m
b) 122 sq m
c) 130 sq m
d) 132 sq m
Answer:
a) 120 sq m
Question 12: A rectangular garden is 25 m long and has an area of 300 sq m. What is its width?
a) 10 m
b) 12 m
c) 14 m
d) 15 m
Answer:
b) 12 m
Question 13: The area of a triangle is always ___ the area of a rectangle having the same base and height.
a) equal to
b) double of
c) half of
d) one-third of
Answer:
c) half of
Question 14: Which unit is correct for measuring area?
a) cm
b) cm²
c) cm³
d) cm⁴
Answer:
b) cm²
Question 15: The area of a rectangle is 96 sq cm. If its length is 12 cm, its breadth is ___.
a) 6 cm
b) 7 cm
c) 8 cm
d) 9 cm
Answer:
c) 8 cm
Question 16: Which of these figures can have the same area but different perimeters?
a) Only squares
b) Only triangles
c) Different rectangles
d) Only circles
Answer:
c) Different rectangles
Question 17: If each side of a square park is 60 m, what is the distance covered in 3 rounds of its boundary?
a) 360 m
b) 600 m
c) 720 m
d) 900 m
Answer:
d) 900 m
Question 18: The perimeter of a regular pentagon of side 7 cm is ___.
a) 28 cm
b) 30 cm
c) 35 cm
d) 40 cm
Answer:
c) 35 cm
Question 19: The perimeter of a rectangle is 40 cm and its length is 12 cm. What is its breadth?
a) 6 cm
b) 8 cm
c) 10 cm
d) 12 cm
Answer:
b) 8 cm
Question 20: The perimeter of a triangle is 55 cm. Two of its sides are 20 cm and 14 cm. What is the third side?
a) 19 cm
b) 20 cm
c) 21 cm
d) 22 cm
Answer:
c) 21 cm
Question 21: A string 36 cm long is bent to form a square. What is the length of each side?
a) 6 cm
b) 8 cm
c) 9 cm
d) 12 cm
Answer:
c) 9 cm
Question 22: If the length of a rectangle is doubled and breadth is halved, its area will ___.
a) double
b) remain the same
c) become half
d) become one-fourth
Answer:
b) remain the same
Question 23: What is the area of an equilateral triangle of side 10 cm using formula (√3/4) × side²?
a) 25√3 sq cm
b) 50√3 sq cm
c) 75√3 sq cm
d) 100√3 sq cm
Answer:
b) 50√3 sq cm
Question 24: The area of a rectangle is 72 sq cm and its perimeter is 34 cm. What are its dimensions?
a) 6 cm × 12 cm
b) 8 cm × 9 cm
c) 7 cm × 10 cm
d) 4 cm × 18 cm
Answer:
a) 6 cm × 12 cm
Question 25: If the area of a square is 144 sq cm, its perimeter is ___.
a) 36 cm
b) 42 cm
c) 44 cm
d) 48 cm
Answer:
d) 48 cm
Question 26: Which of the following shapes can have equal perimeters but different areas?
a) Different circles
b) Different rectangles
c) Different squares
d) Different equilateral triangles
Answer:
b) Different rectangles
Question 27: The area of a rectangular field is 500 sq m. If its length is 25 m, its breadth is ___.
a) 15 m
b) 18 m
c) 20 m
d) 25 m
Answer:
c) 20 m
Question 28: Which statement about perimeter and area is correct?
a) Same perimeter always means same area
b) Same area always means same perimeter
c) Two shapes may have same area but different perimeters
d) Area and perimeter are always equal
Answer:
c) Two shapes may have same area but different perimeters
Question 29: The perimeter of a regular hexagon with side 9 cm is ___.
a) 36 cm
b) 45 cm
c) 48 cm
d) 54 cm
Answer:
d) 54 cm
Question 30: A square has area 100 sq m. What is its perimeter?
a) 20 m
b) 30 m
c) 40 m
d) 50 m
Answer:
c) 40 m
Question 31: Which method is often used to estimate area of irregular figures?
a) Using diagonals
b) Using square grid paper
c) Using formula for circle
d) Using compass
Answer:
b) Using square grid paper
Question 32: A room is 8 m long and 6 m wide. How much area is available for carpet?
a) 42 sq m
b) 44 sq m
c) 46 sq m
d) 48 sq m
Answer:
d) 48 sq m
Question 33: The perimeter of a rectangle is 60 cm. If its length is 20 cm, its breadth is ___.
a) 8 cm
b) 10 cm
c) 12 cm
d) 15 cm
Answer:
b) 10 cm
Question 34: The perimeter of a square is 24 cm. Its area is ___.
a) 16 sq cm
b) 24 sq cm
c) 36 sq cm
d) 36 sq cm
Answer:
c) 36 sq cm
Question 35: Which of these statements is true about area and perimeter?
a) Shapes with the same perimeter must have the same area
b) Shapes with the same area may have different perimeters
c) Perimeter is always greater than area
d) Area is always greater than perimeter
Answer:
b) Shapes with the same area may have different perimeters
Fill in the blanks on Perimeter and Area Class 6
1. The distance around a closed figure is called its ___.
Answer:
perimeter
2. The perimeter of a rectangle is given by the formula ___.
Answer:
2 × (length + breadth)
3. The perimeter of a square is equal to ___ times the length of one side.
Answer:
4
4. A polygon in which all sides and angles are equal is called a ___ polygon.
Answer:
regular
5. The area of a rectangle is found by multiplying its ___ and breadth.
Answer:
length
6. The area of a square is given by the formula ___ × side.
Answer:
side
7. The area of a triangle is equal to ___ × base × height.
Answer:
1/2
8. The unit of measurement for area is always expressed in ___ units.
Answer:
square
9. The area of a rectangle with length 15 cm and breadth 8 cm is ___ sq cm.
Answer:
120
10. The perimeter of an equilateral triangle is equal to ___ × side.
Answer:
3
11. Two shapes can have the same perimeter but different ___.
Answer:
areas
12. Two shapes can have the same area but different ___.
Answer:
perimeters
13. To estimate the area of irregular figures, we use ___ paper.
Answer:
square grid
14. If the side of a square is doubled, its area becomes ___ times bigger.
Answer:
4
15. The formula for the area of an equilateral triangle is (√3/4) × ___².
Answer:
side
16. A tangram is a puzzle made up of ___ geometric pieces.
Answer:
7
17. The perimeter of a regular hexagon with side 11 cm is ___ cm.
Answer:
66
