Question

Find the perimeter of square if its diagonal its 10√2 cm
1 point

Answer 1

Answer:

Answer. The perimeter of the square is 40 cm.

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Answer 2

Answer:

The perimeter of the square is 40 cm

Step-by-step explanation:

Given that the diagonal of the square is 10√2 cm,

We have to use Pythagoras theorem.

Let a side of a square be x.

(10√2)^2 = 2(x)^2

(Since the sides of square are equal, (x^2) + (x^2) becomes 2x^2).

200 = 2x^2

x^2 = 100

x = 10 ( since the side of the square is positive)

perimeter of square: 4x

= 4(10)

= 40 cm