Question

The area of a square is 16900 sq.m. Find the length of its diagonal
130 m (2) 169 m (3)  130√2 m (4) 144 m​

Answer 1

Answer:

130√2 m

Explanation:

So let us first consider a square with area x² unit²

so the side is of length √x² = x unit  

so square has angles of 90° so using Pythagoras we  get the length of the diagonal as  =  

 

√2x

so for this problem the area is 16900  m² so length of the side is √16900 = 130 m

so the length of the diagonal is √2 x 130 m = 130√2 m ≈ 183.82 m