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# The area of a square is 144 sq cm. Find the length of its diagonal

### Question

The area of a square is 144 sq cm. Find the length of its diagonal

### Options

A) 11$$\sqrt{3}$$cm

B) 12cm

C) 12$$\sqrt{2}$$cm

D) 13cm

### Explanation:

BD = $$\sqrt{x^2 + x^2}$$
= $$\sqrt{12^2 + 12^2}$$
= $$\sqrt{144 + 144}$$
= 2(144)
= 12$$\sqrt{2}$$cm

## Dicussion (1)

• BD = $$\sqrt{x^2 + x^2}$$
= $$\sqrt{12^2 + 12^2}$$
= $$\sqrt{144 + 144}$$
= 2(144)
= 12$$\sqrt{2}$$cm