Question

Qs Find the area of a square one of whose diagonals is 7.2 m long​

Answer 1

Answer:

Area of the given square is 25.92 m²

Step-by-step explanation:

Consider that our square has  side length 'a'.

Observe the provided picture you can see that when diagonal is drawn to a square it makes an angle 90 degrees.

Apply Pythagoras theorem,

d² = a² + a² ( d is diagonal length)

d² = 2a²

d = a√2.

a = d/√2

Given d = 7.2 m.

Therefore,

a = 7.2/√2

We know that area of a square of side length a is a².

Therefore area(Δ) of given square is,

Δ = (7.2/√2)²

Δ = 7.2 x 7.2 /2

Δ = 25.92 m²