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 2 of 10 pages

Question 11. A rectangular park is having a grass field of 18cm long and 15 cm wide such that there is a path of 1.5 cm along each of its sides extending outside on each side of the park. The area of the path is 108

c m^{2}

True
False
5 m
1 m

Discuss Question

Answer: Option A. -> True
:
A
Area of the path = Area of the outer rectangle - Area of the inner rectangle
The path so formed is effectively adding 1.5m + 1.5m = 3m to the length and breadth of the park, as shown in the figure.
So, area of the path = 21

\times

18 - 18

\times

15 = 18

\times

(21 - 15) = 18

\times

6 = 108

c m^{2}

A Rectangular Park Is Having A Grass Field Of 18cm Long And ...

Question 12. A 2 m wide path is built along the border and inside a square garden of side 11 m. The area of the path is_____.

73 m2
72 m2
77 m2
75 m2

Discuss Question

Answer: Option B. -> 72 m2
:
B

A 2 M Wide Path Is Built Along The Border And Inside A Squar...

Let ABCD be the square park and the region shaded in green be the path.
Here, side length of the outer square, AB = 11 m (given)
and the path is 2 m wide.

\Rightarrow

Side length of the inner square, HG
= 11 - 2 - 2 = 7 m
We know that area of a square =

s i d e^{2}

\Rightarrow

Area of the path = Area of the outer square - Area of the inner square

= 11^{2} - 7^{2} = 121 - 49 = 72 m^{2}

Question 13. What is the area of a square with side 13 cm?

26 cm2
52 cm2
169 cm2
130 cm2

Discuss Question

Answer: Option C. -> 169 cm2
:
C
Area of the square = Side

\times

Side
Given: Side = 13 cm

∴

Area = 13

\times

13 = 169

c m^{2}

Question 14. In the given figure, if the length of the rectangle is 4 cm and the breadth is

\frac{1}{4} c m

, then the area of the figure is:

In The Given Figure, If The Length Of The Rectangle is 4 Cm...

12 cm2
1 cm2
2 cm2
4 cm2

Discuss Question

Answer: Option B. -> 1 cm2
:
B
In the given figure, we have length = 4 cm and breadth =

\frac{1}{4}

cm
Area of the figure = length

\times

breadth

\Rightarrow

Area of the given rectangle= 4 cm

\times

\frac{1}{4}

cm = 1

c m^{2}

Question 15. Choose the correct option:

0.9 m^{2} = ?

90 cm2
9000 cm2
9000 m2
9 m2

Discuss Question

Answer: Option B. -> 9000 cm2
:
B
1 m = 100 cm.
Hence 1 sq. m

= 100 \times 100 c m^{2}

\Rightarrow 0.9 m^{2} = 0.9 \times 100 \times 100 = 9000 c m^{2} ( shifting the decimal by 1 place)

Question 16. A rectangle is formed by keeping two squares next to each other. The length of the sides of each square is 10 cm.
What is the area of the rectangle formed by these two squares?

100 cm2
200 cm2
300 cm2
400 cm2

Discuss Question

Answer: Option B. -> 200 cm2
:
B
Given: The length of the sides of each square is 10 cm.
For the rectangle formed:
Length= 10 cm + 10 cm = 20 cm
Breadth = 10 cm
Area of therectangle = Length

\times

Breadth =

20 c m \times 10 c m = 200 c m^{2}

Question 17. Calculate the area of the given shape.

10 m2
40 m2
50 m2
90 m2

Discuss Question

Answer: Option D. -> 90 m2
:
D
Area of the given shape = area of the two rectangles
=

(10 m \times 5 m) + (5 m \times 8 m)

50 m^{2} + 40 m^{2}

90 m^{2}

Question 18. If a square is cut along its diagonal into two triangles, what will be the sum of areas of those two triangles?

Be more than the square
Same as that of the square
Be less than the square
area of one triangle

Discuss Question

Answer: Option B. -> Same as that of the square
:
B

If A Square Is Cut Along Its Diagonal Into Two Triangles, Wh...

Sum of areas of the triangles will be same as that of thearea of the square, it will be like calculating the area of two triangles which forms the square.

Question 19. The perimeter of the figure given below is 15 cm. Find the length of the third side.

6 cm
11 cm
5 cm
4 cm

Discuss Question

Answer: Option D. -> 4 cm
:
D
Given : Perimeter of the given figure= 15 cm
Let the length of the third side be x.
Perimeter of a figure = Sum of lengths of itssides = AB + BC + AC

\Rightarrow

15 cm = 6 cm + 5 cm + x

\Rightarrow

15 cm = 11 cm + x

\Rightarrow

x = 15 cm - 11 cm

\Rightarrow

x = 4 cm
Therefore, the third side is 4 cm long.

Question 20. If a square is cut along its diagonal into two triangles, what is the sum of perimeters of those two triangles?

Be more than the square
Same as that of the square
Be less than the square
the perimeter of one triangle

Discuss Question

Answer: Option A. -> Be more than the square
:
A
It will be more than the perimeter of square because in the case of square, we consider 4 sides but in the case of triangle, we have 6 sides to consider since each triangle has 3 sides.