Question

Find the perimeter of square whose diagonal is 100 cm.
please help me
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Answer 1

Answer:

The perimeter of a square whose diagonal100 cm is  $200\sqrt{2} cm$.

Step-by-step explanation:

Given diagonal of a square is 100 cm.

So, Side of square = $=\frac{1}{\sqrt{2} } \times diagonal\\ =\frac{1}{\sqrt{2} } \times 100\\ =\frac{100\sqrt{2} }{\sqrt{2} \times \sqrt{2} } \\ =\frac{100\sqrt{2} }{2} \\\\ =50\sqrt{2} cm$

Perimeter of square = 4 (side)

$=4(50\sqrt{2} )\\ =200\sqrt{2} cm$

Answer 2

Answer:

The perimeter of square is 5.65 cm .

Step-by-step explanation:

Given -

Diagonal of a square is $100\:cm$

To find -

The perimeter of square

Solution -

As we know that,

The formula of the perimeter of square when diagonal are given.

Perimeter of square = $2\sqrt{2} \:d$

Where,

d = perimeter of a square.

Here, d= $100\:cm$

Perimeter of square = $2\sqrt{2} \times 100$

Perimeter of square = $2 \times 1.41 \times 100$

Perimeter of square = $5.65$ cm

The perimeter of square is 5.65 cm .