Calculate the area of the shaded region in Fig. 9.66, where all of the short line segments are at right angles to each other and 1 cm long.
Solution:
Given, the figure represents a large rectangle in which all of the short line segments are at right angles to each other and 1 cm long.
We have to find the area of the shaded region.
Considering larger square,
side = 9 cm
Area of square = (side)²
= (9)²
= 81 cm²
Given, short line segments are at right angles to each other and 1 cm long
By joining all the short lines using dotted lines, we obtain 41 identical squares.
Area of square = (side)²
Considering one square,
Side = 1 cm
Area of square = (1)² = 1 cm²
Area of 41 identical squares = 41(1) = 41 cm²
Area of shaded region = area of larger square - area of 41 identical squares
= 81 - 41
= 40 cm²
Therefore, the area of the shaded region is 40 cm².
✦ Try This: Find the area of the figure.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11
NCERT Exemplar Class 7 Maths Chapter 9 Problem 124
Calculate the area of the shaded region in Fig. 9.66, where all of the short line segments are at right angles to each other and 1 cm long.
Summary:
The area of the shaded region in Fig. 9.66, where all of the short line segments are at right angles to each other and 1 cm long is 40 cm².
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