NCERT Class 8 Mathematics Solutions: Chapter 11 – Mensuration Exercise 11.2 Part 6 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Understanding the Perimeter and Area of Rectangle

1. Top surface of a raised platform is in the shape of a regular octagon as shown in the figure. Find the area of the octagonal surface.

Top Surface of Raised Platform in the Shape of a Regular Octagon

Answer:

Given:

Octagon having eight equal sides, each .

Construction:

Divided the octagon in figures, two trapeziums whose parallel and perpendicular sides are respectively and third figure is rectangle having length and breadth respectively.

In Figure Divided the Octagon in 3 Part

Now,

Area of two trapeziums

And

Area of rectangle

Total area of octagon