Question

Find the the lenght of the diagonal of the square of area 200cm²

Answer 1

Given:

The square of area is 200cm².

To find out:

Find the the lenght of the diagonal of the square?

Formula used:

Area of square = *Diagonal)²/2

Solution:

Let diagonal of the square be d.

We know that,

Area of square = Diagonal/2

✪Putting the value of area

⇨200 = d²/2

⇨d² = 200 × 2

⇨d² = 400

⇨d = 20

Hence, The lenght of the diagonal of the square is 20 cm.

Additional information:

✪Properties of Square

• The diagonals of a square bisect each other and meet at 90°.

• The diagonals of a square bisect its angles.

• Opposite sides of a square are both parallel and equal in length.

• All four angles of a square are equal.

• All four sides of a square are equal.

Answer 2

Given:

The square of area is 200cm².

To find out:

find the length of the diagonal of the square?

Formula used:

Area of square = Diagonal ²/2

Solutions:

Let diagonal of the square be d.

We know that,

Area of square =d/2

putting the value of area

200 = d²/2

d² = 200 × 2

d² = 400

d = 20

Hence, the length of the diagonal of the square is 20cm.

Additional informational:

Properties of square

• The diagonal of a square bisect each other and meet at 90°

• The diagonal of a square bisect its angle.

• Opposite sides of a square are both parallel and equal in length.

• All four angle of a square are equal.

• All four side of a square are equal.

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