Question

a square piece of land has an area of 1 hectare. Find the length of the diagonal of the land

Answer 1

Step-by-step explanation:

Given:-

A square piece of land has an area of 1 hectare.

To find:-

Find the length of the diagonal of the land ?

Solution:-

Given that

Area of a square piece of land = 1 hectare

We know that 1 hectare = 10000 sq.m

Area of a square piece of land = 10000 sq.m

We know that

Area of a square whose side is a units = a^2 sq.units

=> a^2 = 10000

=> a=√10000

=>a = 100 m

=> Side = 100 m

Side of the square piece of the land = 100 m

We know that

The length of the diagonal of a square whose side is a units = √2 a units

=> √2×100 m

=> 100√2 m

or √2=1.414

=> 1.414×100 m

=> 141.4 m (approximately)

Answer:-

Length of the diagonal of the square piece of the land is 100√2 m or 141.4 m (approximately)

Used formulae:-

• Area of a square whose side is a units = a^2 sq.units
• The length of the diagonal of a square whose side is a units = √2 a units
• 1 hectare = 10000 sq.m
• √2=1.414