December 2020
Intermediate to advanced
369 pages
14h 24m
English
Content preview from Pearson IIT Foundation Mathematics Class 7, 8th Edition by Pearson
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Chapter 6
6.6
Area of a Square
A square is a rectangle in which all the sides are equal.
Area of a rectangle = (length) ×(breadth)
In a square, length = breadth
∴ Area of a square = (Side)
2
Perimeter of a square = 4 (Side)
Diagonal of a square =
2 (Side)
∴ Area of a square =
Diagonal
()
2
2
EXAMPLE 6.4
A path of 1 m wide runs around and inside a square garden of side 20 m. Find the cost of
levelling the path at the rate of `2.25 per square metre (in `).
SOLUTION
Area of the eld
= (20) × (20) – (20 – 2) (20 – 2)
= 400 – 324 = 76 m
2
∴ Cost of levelling the path = 76 × 2.25 = `171
Area of an Equilateral Triangle
In the following gure, ABC is an equilateral tr ...
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