NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.1

NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.1, are part of NCERT Solutions for Class 7 Maths. Here we have given NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.1.

NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.1

Question 1.
The length and the breadth of a rectangular piece of land is 500 m and 300 m respectively. Find
(i) its area
(ii) the cost of the land, if 1 m² of the land cost ₹ 10,000.
Solution:
(i) For rectangular piece of land,
Length = 500 m
Breadth = 300 m
∴ Area of the rectangular piece of land
= Length × Breadth , = 500 × 300 m² = 150,000 m²

(ii) 1 m² of the land costs = ₹ 10,000
∵ 150,000 m² of the land costs = ₹ 10,000 × 150,000 = ₹ 1,500,000,000.

Question 2.
Find the area of a square park whose perimeter is 320 m.
Solution:

Question 3.
Find the breadth of a rectangular plot of land, if its area is 440 m² and the length is 22 m. Also find its perimeter.
Solution:

Question 4.
The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth. Also find the area.

Solution:

Question 5.
The area of a square park is the same as of a rectangular park. If the side of the square park is 60 m and the length of the rectangular park is 90 m, find the breadth of the rectangular park.

Solution:


Hence, the breadth of the rectangular park is 40 m.

Question 6.
A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the same wire is rebent in the shape of a square, what will be the measure of each side? Also find which shape encloses more area?
Solution:

Question 7.
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.

Solution:

Question 8.
A door of length 2 m and breadth 1 mis fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m (figure). Find the cost of white washing the wall, if the rate of white washing the wall is ₹ 20 per m².
Solution:

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