Math, asked by kaushikgupta7516, 1 year ago

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

Answers

Answered by BrainlyConqueror0901
24

{\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 }

Answered by Anonymous
32

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

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