Area And Perimeter(7th Grade > Mathematics ) Questions and answers for exam Preparation

7th Grade > Mathematics

AREA AND PERIMETER MCQs

Perimeter And Area

Total Questions : 99 | Page 3 of 10 pages

Question 21. In the given figure, if the area of one rectangle is 1

c m^{2}

, then what is the area of the shaded region?

In The Given Figure, If The Area of One Rectangle Is 1 Cm2,...

8 cm2
10 cm2
7 cm2
20 cm2

Discuss Question

Answer: Option C. -> 7 cm2
:
C
In the given figure, we have 7 rectanglesthat are shaded.

Since, area occupied by eachrectangle = 1

c m^{2}

Therefore, area occupied by 7 rectangles (shaded region) =

7 \times 1 c m^{2}

7 c m^{2}

Question 22. What will be the area of a square of side 11 cm?

22 cm2
121 cm2
88 cm2
44 cm2

Discuss Question

Answer: Option B. -> 121 cm2
:
B
Area of the square = Side

\times

Side
Given: Side = 11 cm

∴

Area = 11 cm

\times

11 cm = 121

c m^{2}

Question 23. A girl has four squares of side 8 cm. What will be the perimeter of the largest rectangle that can be formed using these four small squares?

64 cm
80 cm
48 cm
56 cm

Discuss Question

Answer: Option B. -> 80 cm
:
B
There are 4 squares of side 8 cm.
When we keep the squares next to each other, the length of the side will be

8 \times 4

= 32 cm and the breadth will be 8 cm.
Hence, it will form a rectangle of length 32 cm and breadth of 8 cm.

∴

perimeter of the rectangle
= 2(length + breadth)
= 2(32 + 8)
= 80 cm

Question 24. The perimeter of a square is 40 cm. The length of its side is ___ cm.

Discuss Question

:
Given that
Perimeter of the square = 40 cm
Perimeter of a square = 4

\times

Side

\Rightarrow 40 c m = 4 \times Side

Side = \frac{40 c m}{4} = 10 c m

Question 25. The perimeter of a square is 12cm. What will be its area?

16 cm2
9 cm2
20 cm2
4 cm2

Discuss Question

Answer: Option B. -> 9 cm2
:
B
Perimeter of a square = 4

\times

Side
Given: Perimeter = 12 cm

\Rightarrow

12 cm = 4

\times

Side

\Rightarrow

Side =

\frac{12}{4}

= 3 cm

The Perimeter Of A Square Is 12cm. What Will Be Its Area?

The area of a square = side

\times

side
=3 cm

\times

3 cm
= 9

c m^{2}

Question 26. Find the base length of a parallelogram if the area is 24

m^{2}

and the corresponding height is 8 m.

Discuss Question

Answer: Option A. -> 3 m
:
A
Area of a parallelogram = Base

\times

corresponding height .
Therefore, Base =

\frac{Area of a parallelogram}{Corresponding height}

\Rightarrow

Base =

\frac{24}{8}

= 3 m.

Question 27. Puja is the owner of a farm as shown in the figure. She goes to the market to buy the fence wire for the field. Calculate the minimum length of the wire to be bought by Puja so that the entire farm is covered. (All dimensions are in m)

55 m
70 m
60 m
45 m

Discuss Question

Answer: Option B. -> 70 m
:
B
To find out theminimum length of the wire to be bought by Puja so that the entire farm is covered, we have to find out the perimeter of the entire farm.

From the above figure, the length of the side AF = (Length of side BC) - (Length of side ED) = (20-5) m = 15m.
Length of side AB = (Length of side DC + Length of side FE) = (5+10) m = 15m
As we know, the perimeter of a plane figure is the length of its boundary.
Perimeter of the farm = (15+20+5+5+10+15) m = 70 m.
So, the minimum length of the wire to be bought by Puja is 70 m.

Question 28. Find the total area of a metal sheet which is in the form of a square of side

5 m

25 m2
55 m2
20 m2
10 m2

Discuss Question

Answer: Option A. -> 25 m2
:
A
Given: The metal sheet in the form ofa square of side

5 m

.
The area of asquare ofside'

a

' is given by

a^{2}

.
So, area of the sheet

= 5^{2} = 25 m^{2}

Question 29. Puja decides to cut a circular disc into 4 equal parts. What is the perimeter of each part? (Given that the radius of the disc = 7cm,