Perimeter and Area Class 6 MCQ Maths Chapter 6

MCQ on Perimeter and Area Class 6

Class 6 Maths Chapter 6 MCQ Perimeter and Area

I. Multiple Choice Questions

Question 1.
One side of a regular pentagon is 5 cm. Its perimeter is:
(a) 10 cm
(b) 25 cm
(c) 15 cm
(d) 50 cm
Answer:
(b) 25 cm

Question 2.
The distance around a two-dimensional shape is:
(a) Area
(b) Perimeter
(c) Diagonal
(d) None of these
Answer:
(b) Perimeter

Question 3.
The length and breadth of a rectangle are 57 cm and 43 cm respectively. Its perimeter is:
(a) 10 cm
(b) 2451 cm
(c) 200 cm
(d) 40 cm
Answer:
(c) 200 cm

Question 4.
The perimeter of the following figure is:

(a) 42 cm
(b) 24 cm
(c) 36 cm
(d) 26 cm
Answer:
(d) 26 cm

Question 5.
The amount of space inside the boundary of a 2-D shape is:
(a) Perimeter
(b) Diagonal
(c) Area
(d) Circumference
Answer:
(c) Area

Question 6.
Assertion: The perimeter of a regular pentagon of side 2 units is 10 units.
Reason: The Perimeter is the distance covered around the boundary forming a closed figure when you go around the figure once.
In the given question, a statement of Assertion is followed by a statement of Reason. Choose the correct option as:
(a) Both assertion and reason are true and the reason is the correct explanation of the assertion.
(b) Both assertion and reason are true but the reason is not the correct explanation of the assertion.
(c) Assertion is true and the reason is false.
(d) Assertion is false and the reason is true.
Answer:
(a) Both assertion and reason are true and the reason is the correct explanation of the assertion.

Write ‘T’ for True and ‘F’ for False.

Question 7.
If the side of a square is doubled, the perimeter of the square is halved.
Answer:
False

Explanation:
Side of square = 2 cm
Perimeter = 4 × side
= 4 × 2 = 8 cm
Side of square is doubled i.e., 2 × 2 = 4 cm
Perimeter = 4 × side
= 4 × 4 = 16 cm
If side is doubled perimeter is doubled.

Question 8.
1 hectare = 1000 m² (Easy)
Answer:
False
Explanation: 1 hectare = 10000 m²

Question 9.
The perimeter of a square whose area is 49 cm² is 28 cm.
Answer:
True.

Explanation:
Area of square = (side)²
49 cm² = (side)²
side = \(\sqrt{49}\)
= 7 cm
Perimeter = 4 × side
= 4 × 7 = 28 cm

Question 10.
Formula for perimeter of rectangle is side + side.
Sol. False
Explanation: Perimeter of rectangle = 2(l + b)

Question 11.
Assertion (A): Perimeter of an equilateral triangle = 2 length of side
Reason (R): Perimeter is the length of the boundary of a shape.
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true. (Medium)
Answer:
Option (d) is correct.

Explanation:
Perimeter is the distance or length of the boundary of a figure and perimeter of equilateral triangle is 3 × length of side.

Question 12.
Assertion (A): Area of rectangle of length 5 cm and breadth 4 cm is 20 cm2.
Reason (R): Area is the amount of surface enclosed by a figure.
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
Answer:
Option (a) is correct.

Explanation:
As, Area is the amount of surface enclosed by a figure and Area of rectangle = l × b = 5 × 4 = 20 cm²
Thus, R is the correct explanation of A.

II. Objective Type Questions

Question 7.
Fill in the blanks.
(i) The length of the boundary of a figure is called its __________ [Perimeter/Area]
Answer:
Perimeter

(ii) The perimeter of square is __________ [(4 × Side)/(4 + Side)]
Answer:
4 × Side

(iii) The perimeter of a rectangle is __________ [2(Length × Breadth)/2(Length + Breadth)]
Answer:
2(Length + Breadth)

(iv) The perimeter of a regular triangle is __________ [(3 × Side)/(3 + Side)]
Answer:
3 × Side

(v) The perimeter of a regular hexagon = __________
Answer:
6 × Side

(vi) The perimeter of an equilateral triangle = __________
Answer:
3 × Side

(vii) Side of a square = __________ [(Perimeter ÷ 4)/(Perimeter – 4)]
Answer:
Perimeter ÷ 4

(viii) Length of a rectangle = __________ [(\(\frac{\text { Perimeter }}{2}\) – Breadth)/(\(\frac{\text { Perimeter }}{2}\) ÷ Breadth)]
Answer:
\(\frac{\text { Perimeter }}{2}\) – Breadth

(ix) Breadth of a rectangle = __________ [(\(\frac{\text { Perimeter }}{2}\) – Length)/(\(\frac{\text { Perimeter }}{2}\) ÷ Length)]
Answer:
\(\frac{\text { Perimeter }}{2}\) – Length

(x) Side of a regular triangle = __________ [(\(\frac{\text { Perimeter }}{3}\))/(Perimeter × 3)]
Answer:
\(\frac{\text { Perimeter }}{3}\)

(xi) Perimeter of a square of side 1 cm = __________
Answer:
4 cm

Question 8.
Tick the correct option:
(i) The area of a square is (a × a) sq. cm. Its perimeter is __________ [4a cm/8a cm].
Answer:
4a cm

(ii) The area of a square is 16 sq cm. Its perimeter is _________________ [16 cm/8 cm].
Answer:
16 cm

Question 9.
Match the following:

Column A	Column B
(a) Perimeter of a square	(i) side × side
(b) Perimeter of a rectangle	(ii) Length × Breadth
(c) Area of a square	(iii) 2[Length + Breadth]
(d) Area of rectangle	(iv) 4 × side

Answer:

Column A	Column B
(a) Perimeter of a square	(iv) 4 × Side
(b) Perimeter of a rectangle	(iii) 2[Length + Breadth]
(c) Area of a square	(i) Side × Side
(d) Area of rectangle	(ii) Length × Breadth

III. Fun Activity

Question 10.
Complete the following crossword puzzle using the given directions:

Directions:
Across:
(1) The distance around the outside of a simple closed figure is called its ___________
(2) The product of the length and breadth of a rectangle gives its __________
(3) A simple closed figure made of three line segments is called ___________
(4) A __________ is a quadrilateral having all sides equal and its diagonals are equal and perpendicular bisector of each other.
(5) The greater side of a rectangle is called its __________
Down:
(6) The area of a __________ is length × breadth.
(7) The shorter side of a rectangle is called its __________
Answer:
Across:
(1) Perimeter
(2) Area
(3) Triangle
(4) Square
(5) Length
Down:
(6) Rectangle
(7) Breadth

IV. Answer the following.

Question 11.
Find the perimeter of the following figures.



Answer:
(a) 36 cm
(b) 40 cm
(c) 45 cm
(d) 32 cm
(e) 24 cm
(f) 44 cm
(g) 30 cm
(h) 38 cm

Question 12.
What do we call a figure having all of its sides and angles equal?
Answer:
Regular Polygon

Question 13.
The side of the square is 4 cm. Are its area and perimeter equal numerically?
Answer:
Yes

Question 14.
A wire of length ‘a’ cm is in the form of a rectangle. If it is bent in the form of a square, what is the perimeter of that square?
Answer:
‘a’ cm

Question 15.
Which of the following is the perimeter of a rectangle whose sides are 10 cm and 8 cm?
(i) 80 cm
(ii) 36 cm?
Answer:
(ii) 36 cm

Question 16.
Find the perimeter of a rectangle having its length and breadth as 15 cm and 12 cm respectively.
Answer:
54 cm

Question 17.
Find the perimeter of a rectangle whose length is 1.5 m and breadth is 90 cm.
Answer:
340 cm

Question 18.
Find the cost of fencing of a rectangular field at the rate of ₹ 18 per metre. The length and breadth of the field are 45 m and 30 m respectively.
Answer:
₹ 2700

Question 19.
Find the perimeter of an equilateral triangle with each side equal to 11 cm.
Answer:
33 cm

Question 20.
Calculate the area of the closed figure formed on a square grid paper of 1 sq cm unit squares.

Answer:
Yes

Question 21.
In each figure, find the missing value of either the length of a side or the area of a region.



Answer:
(i) 8
(ii) 60
(iii) 20
(iv) 35
(v) 3

Question 22.
Case-Based Question
Ms. Shalini wants to develop a square shaped park of area 10,000 sq m with 4 equal rectangular flower beds each of length 10 m and breadth 6 m.

Based on the above information, answer the following questions.

(i) How much of total area do the flower beds cover?
Answer:
240 sq m

(ii) What is the sum of the perimeters of the four flower beds?
Answer:
128 m

(iii) What is the area of the park excluding the flower beds?
Answer:
9760 sq m

Class 6 Maths MCQ