7th Standard CBSE Syllabus & Materials
7th Standard CBSE
CBSE 7th Social Science Theme E - Understanding Market - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme E - From Barter to Money - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme D - The Constitution of India- An Introduction - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme D - From the Rulers to the Ruled : Types of Governments - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme B - The Age of Reorganisation - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme B - The Rise of Empires - New Sample Question Papers Study Material - QB365 Set A

Published on: 18/09/2019
Perimeter and Area
Download CBSE Class 7th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 7th Standard CBSE Mathematics
Questions + Answers key
Take MCQ Mathematics Test

1.
The circumference of a circle is 88 cm. Find its area.
2.
Find BC in the figure,if the area of the triangle ABC is 30 em2 and the height AD = 3 cm.
3.
Find the area of the following triangles

4.
Find the area of a triangle whose base = 25 cm and height = 14 cm.
5.
In a parallelogram ABCD, if AB = 8 cm and the length of the perpendicular from C to AB is 5.2 cm. Find the area of parallelogram.
6.
The perimeter of a triangle is 40 m. Its length is 4 m less than five times its breadth. Find the area of the rectangle.
7.
A room is 12 m long and 8 m broad. Find the cost of carpeting the room at the rate of Rs 7.50 per metre.
8.
Find the area of the circles whose radius are 49 cm.
9.
Find the area of the circles whose radius are 21 cm.
10.
In the following figure, AB = BC and AC = 84 cm. The radius of the inscribed circle is 14 cm and B is the centre of the largest semi-circle. What is the area of the shaded region?

11.
Find the area of the following parallelogram.

12.
A rectangular grassy lawn is 18 m x 12 m. It has a ground path, 1.5 m wide all around it on the outside. What is the area of the path?
13.
Yogesh walks to school every day. His school is located 500 m from his house. What is the total distance walked by Yogesh in 5 days?
14.
The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm, find its length. Also, find the area of the rectangle.
15.
How much plastic sheet do you need to cover a rectangular swimming pool?
1.
616 cm2
2.

Here, Height (AD) = 3 cm and Area of LlABC = 30 cm2
But Area of a triangle =\(\frac{1}{2}\) \(\times\)b\(\times\)h
\(\therefore\) \(\frac{1}{2}\) \(\times\) b \(\times\)h=30 or \(\frac{1}{2}\)\(\times\)BC\(\times\)3=30
or BC =\(\frac{30\times2}{3}\)=20 cm
Therefore, BC = 20 cm.
3.
(i) Here, Base (b) = 4 cm and Height (h) = 3 cm
\(\therefore\) Area of triangle ABC=\(\frac{1}{2}\) \(\times\)b\(\times\)h=\(\frac{1}{2}\)\(\times\)4\(\times\)3 cm2 = 6 cm2
4.
Area of \(\Delta\) = \(\frac { 1 }{ 2 } \) x base x height
= \(\frac { 1 }{ 2 } \)x 25 x 14
= 25 x 7 = 175 cm2
5.
Area of parallelogram = base x height
In the question,
AB = base = 8 cm.
and height = 5.2 cm.
\(\therefore\) Area = 8 x 5.2
= 41.6cm2
6.
64 m2
7.
Rs 720.
8.
Given, radius = 49 cm
\(\therefore\) Area of a circle = \(\pi\)r2 = \(\pi\) x (49)2
= \(\frac{22}{7}\) x 49 x 49 = 22 x 7 x 49
= 154 x 49 = 7546 cm2.
9.
Given, radius = 21 cm
\(\therefore\) Area of a circle = \(\pi\)r2 = \(\pi\)(21)2 = \(\frac{22}{7}\) x 21 x 21
= 22 x 3 x 21 = 1386 cm2.
10.
770 cm2
11.
In the given parallelogram ABCD, DC = Base = 8 cm and AE = Height = 6cm
\(\therefore\) Area of the parallelogram = DC x AE = 8 X 6 cm2 = 48 cm2.
12.
99 m2
13.
2500 m.
14.
Perimeter of the rectangle
= 2\(\times\)(l+b)
⇒ 130 = 2\(\times\)(l + 30)
⇒ l+30 = \(\frac { 130 }{ 2 } \)
⇒ l+30= 65
⇒ l = 65 - 30 = 35 cm
Hence, the length of the rectangle is 35 cm.
Area of the rectangle
= l\(\times\)b
= 35\(\times\)30 = 1050 cm2
Hence, the area of the rectangle is 1050 cm2
15.
We need to find the area of rectangular swimming pool to cover it with plastic sheer.
7th Standard CBSE Syllabus & Materials
7th Standard CBSE
CBSE 7th Social Science Theme B - New Beginnings : Cities and States - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme A - Climates of India - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme A - Geographical Diversity of India - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Science Earth, Moon and the Sun - New Sample Question Papers Study Material - QB365 Set A
CBSE 7th Standard CBSE Subjects
CBSE Standards