Question

144. Area of a square is
hectare. The diagonal of the square is
(A)
250 metres
(B) 100 metres
(C)
5002 metres
(D)
50 metres​

Answer 1

Diagonal Of Square = 141.42 m

Step-by-step explanation:

GIVEN

Area Of Square = Hectare = 10000 m

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TO FIND

Diagonal

___________________________

We know that,

Area Of Square = Side × Side = Side²

10000 = Side²

Side = √10000

Side = 100

Side = 100 m

___________________________

We know that,

Diagonal Of Square = √2 × Side

Diagonal Of Square = 1.4142 × 100

Diagonal Of Square = 141.42

Diagonal Of Square = 141.42 m

___________________________

We can find the diagonal of square by Pythagoras Theorem

We know that,

Hypotenuse² = Base² + Height²

Here,

Base = 100 m

Height = 100 m

Hypotenuse = ?

We know that,

Hypotenuse² = Base² + Height²

Hypotenuse² = 100² + 100²

Hypotenuse² = 20000

Hypotenuse = √20000

Hypotenuse = 141.42

Hypotenuse = 141.42 m

Diagonal Of Square = 141.42 m