# 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.

**☛ Related Questions:**

- The plan and measurement for a house are given in Fig. 9.67. The house is surrounded by a path 1m wi . . . .
- The plan and measurement for a house are given in Fig. 9.67. The house is surrounded by a path 1m wi . . . .
- The plan and measurement for a house are given in Fig. 9.67. The house is surrounded by a path 1m wi . . . .

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