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      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area

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      • NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area

       

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Exercise 11.1
      Ex 11.1 Class 7 Maths Question 1.
      The length and the breadth of a rectangular piece of land are 500 m and 300 m respectively. Find
      (i) its area
      (ii) the cost of the land, if 1 m2 of the land costs ₹ 10,000
      Solution:
      Given: l = 500 m, b = 300 m
      (i) Area = l × b
      = 500 m × 300 m = 150000 m2
      (ii) Cost of land = ₹ 10,000 × 150000 = ₹ 15,00,000,000

      Ex 11.1 Class 7 Maths Question 2.
      Find the area of a square park whose perimeter is 320 m.
      Solution:
      Given: Perimeter = 320 m
      Side of the square =  Perimeter 4
      =3204m=80m
      Area of the square = Side × Side
      = 80 m × 80 m = 6400 m2

      Ex 11.1 Class 7 Maths 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:
      Given: Area = 440 m2
      Length = 22 m
      Breadth =  Area  Length =440m222m=20m
      Perimeter = 2[l + b] = 2 [22 m + 20 m]
      = 2 × 42 m = 84 m

      Ex 11.1 Class 7 Maths 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:
      Given: Perimeter = 100 cm
      Length = 35 cm
      Perimeter = 2(l + b)
      100 = 2(35 + b)
      1002=35+b
      ⇒ 50 = 35 + b
      ⇒ b = 50 – 35 = 15 cm
      ∴ Breadth = 15 cm
      Area = l × b = 35 cm × 15 cm
      = 525 cm2

      Ex 11.1 Class 7 Maths Question 5.
      The area of a square park is 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:
      Given: Side of the square park = 60 m Length of the rectangular park = 90 m Area of the rectangular park = Area of the square park
      90 m × 6 = 60 m × 60 m
      ⇒ b=60m×60m90
      ⇒ b = 40m
      Hence, the required breadth = 40 m.

      Ex 11.1 Class 7 Maths 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:
      Given: Length = 40 cm, Breadth = 22 cm Perimeter of the rectangle
      = Length of the wire
      = 2(l + b) = 2(40 cm + 22 cm)
      = 2 × 62 cm = 124 cm
      Now, the wire is rebent into a square.
      Perimeter = 124 cm
      ⇒ 4 × side = 124
      ∴ side = 1244 cm = 31 cm
      So, the measure of each side = 31 cm
      Area of rectangular shape = l × b
      = 40 cm x 22 cm
      = 880 cm2
      Area of square shape = (Side)2
      = (31)2 = 961 cm2
      Since 961 cm2 > 880 cm2
      Hence, the square encloses more area.

      Ex 11.1 Class 7 Maths 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:
      Given: Perimeter = 130 cm
      Breadth = 30 cm
      Perimeter = 2 (l + b)
      130 cm = 2(l + 30 cm)
      ⇒ 1302 cm = l + 30 cm
      ⇒ 65 cm = l + 30 cm
      ⇒ 65 cm – 30 cm = l
      ∴ l = 35 cm
      Area of the rectangle = l × b = 35 cm × 30 cm
      = 1050 cm2

      Ex 11.1 Class 7 Maths Question 8.
      A door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m. Find the cost of white washing the wall, if the rate of white washing the wall is ₹ 20 per m2.
      Solution:
      Given: Length of wall = 4.5 m
      Breadth of the wall = 3.6 m
      Length of the door = 2 m
      Breadth of the door = 1 m
      Area of the wall = l × b = 4.5 m × 3.6 m = 16.20 m2
      = 16.20 m2
      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area 1
      Area of the door = l × b = 2 m × 1 m = 2 m2
      ∴ Area of the wall to be white washed = Area of the wall – Area of the door
      = 16.20 m2 – 2 m2= 14.20 m2
      Cost of white washing
      = ₹ 14.20 × 20 = ₹ 284.00
      Hence, the required area = 14.20 m2 and the required cost = ₹ 284

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.1 Q1

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.1 Q2

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.1 Q3


      Exercise 11.2

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.2 Q1

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.2 Q2

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.2 Q3

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.2 Q4

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.2 Q5

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.2 Q6

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.2 Q7


      Exercise 11.3

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.3 Q1

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.3 Q2

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.3 Q3

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.3 Q4

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.3 Q5

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.3 Q6

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.3 Q7


      Exercise 11.4

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.4 Q1

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.4 Q2

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.4 Q3

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.4 Q4

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.4 Q5

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.4 Q6

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.4 Q7

      NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.4 Q8

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