Question

the area of a square is 16200m find the length of its diagonal​

Answer 1

${\bold{\underline{\underline{Answer:}}}}$

${\bold{\therefore Diagonal=180\:m}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\underline \bold{Given : } \\ \implies Area \: of \: square = 16200 \: m \\ \\ \underline \bold{To \: Find : } \\ \implies Length \: of \: diagonal = ?$

• According to given question :

$\bold{Using \: formula \: of \: Are a \: of \: square : } \\ \implies Area \: of \: square = 16200 \\ \\ \implies {side}^{2} = 16200 \\ \\ \implies side = \sqrt{16200} \\ \\ \bold{\implies side = 90 \sqrt{2} \: m} \\ \\ \bold{For \: Diagonal \: of \: square : } \\ \implies Diagonal \: of \: square = \sqrt{2} a \\ \\ \implies Diagonal = \sqrt{2} \times 90 \sqrt{2} \\ \\ \bold{\implies Diagonal = 180 \: m }$

Answer 2

SOLUTION:-

Given:

The area of a square is 16200m².

To find:

The length of its diagonal.

Explanation:

We know that area of square;

Side × side

[side]²

• Area of square = 16200m².

Therefore,

[side]² ⇒16200

side ⇒√16200

side ⇒ 90√2

Formula of the diagonal of the square:

√2 × side

Therefore,

Diagonal⇒ √2 × 90√2

Diagonal⇒ 90× √2×2

Diagonal⇒ 90 × 2

Diagonal⇒ 180m