Question

The area of a square is 16200 square metre.Find the length of its diagonal.​

Answer 1

Answer:

180 metres

Step-by-step explanation:

Area of square= 16200 m²

=> a²= 16200

=> a= √16200

=> a= √8100* √2

=> a= 90√2 metres

Hence, diagonal= √2* a

= √2* 90*√2

= 90* 2 ( if √2*√2= 2)

= 180 metres

Answer 2

Step-by-step explanation:

We know:

Area of a square = {1/2×(Diagonal)²} sq. units

Diagonal of the square = √2×Area of square units

= (√2×16200)m

= 180 m

∴ Length of the diagonal of the square = 180 m