Question

The diagonal of a square is 5√2cm then its perimeter is​

Answer 1

Answer:

Step-by-step explanation:

The perimeter of the square is 20 cm and area is 25 sq. cm.

Explanation:

A square has all its side equal.

The measure of all interior angles in square is 90°.

Diagonal  of square make right angle triangle.

Let a be the side-length of the square.

If the diagonal of a square is 5√2 cm.

Then, by Pythagoras theorem , we have

Thus , the side of square is 5 cm

Then, Perimeter of square = 4(side) = 4(5) = 20cm

Area of square = (side)² =(5)² = 25 sq. cm

Hence, the perimeter of the square is 20 cm and area is 25 sq. cm.

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Answer 2

Answer:

P=5

Step-by-step explanation:

A square has all its side equal.

The measure of all interior angles in square is 90°.

Diagonal  of square make right angle triangle.

Let a be the side-length of the square.

If the diagonal of a square is 5√2 cm.

Then, by Pythagoras theorem , we have

a^2+a^2=(5 square root 2)^2

2a^2=50

a^2=25

a=5