Three squares are attached to each other as shown in Fig. 9.37. Each square is attached at the midpoint of the side of the square to its right. Find the perimeter of the complete figure.
Solution:
Given, three squares are attached to each other
Each square is attached at the midpoint of the side of the square to its right.
We have to find the perimeter of the complete figure.
Considering Square 1,
The side of square 1 is 6 m.
Considering square 2,
Given, square 2 is attached at the midpoint square 1.
Midpoint of square 1 = 6/2 = 3 cm
The side of square 2 is 3 cm
Considering square 3,
Given, square 3 is attached at the midpoint of square 2.
Midpoint of square 2 = 3/2 = 1.5 cm
The side of square 3 is 1.5 cm
Perimeter = sum of all sides
So, perimeter of the given figure = 6 + 3 + 3 + 1.5 + 1.5 + 1.5 + 1.5 + 3 + 6 + 6
= 18 + 9 + 6
= 33 cm
Therefore, the perimeter of the complete figure is 33 cm.
✦ Try This The perimeter of a square garden is 84 m. A small flower bed covers the 36 sq m area inside this garden. What is the area of the garden that is not covered by the flower bed? What fractional part of the garden is covered by the flower bed? Find the ratio of the area covered by the flower bed and the remaining area.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11
NCERT Exemplar Class 7 Maths Chapter 9 Problem 83
Three squares are attached to each other as shown in Fig. 9.37. Each square is attached at the midpoint of the side of the square to its right. Find the perimeter of the complete figure.
Summary:
Three squares are attached to each other as shown in Fig. 9.37. Each square is attached at the midpoint of the side of the square to its right. The perimeter of the complete figure is 33 cm.
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