Question

The length of the diagonal of a square is 50 cm, find the perimeter of the square.

Answer 1

Answer:

perimeter=141.6 cm

Step-by-step explanation:

draw another diagonal from the other end

length of a side=$\sqrt{25^{2}+25^{2} }$ (using pythagoras theorem)

                         =35.4 cm

perimeter=35.4x4

               =141.6 cm

Answer 2

The perimeter of the square = 100√2 cm

Given :

The length of the diagonal of a square is 50 cm

To find :

The perimeter of the square

Solution :

Step 1 of 2 :

Find side of the square

Let side of the = x cm

Then length of the diagonal = x√2 cm

By the given condition

$\displaystyle \sf{ x \sqrt{2} = 50 }$

$\displaystyle \sf{ \implies x = \frac{50}{ \sqrt{2} } }$

$\displaystyle \sf{ \implies x = \frac{50 \sqrt{2} }{ \sqrt{2} \times \sqrt{2} } }$

$\displaystyle \sf{ \implies x = \frac{50 \sqrt{2} }{ 2 } }$

$\displaystyle \sf{ \implies x =25 \sqrt{2} }$

Side of the square = 25√2 cm

Step 2 of 2 :

Find perimeter of the square

Hence perimeter of the square

= 4 × Length of the side

= 4 × 25√2 cm

= 100√2 cm

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ How many tiles of side 50 cm will be required to flour the the square hall fo side 8 m?

https://brainly.in/question/35572136

2. A rectangle is made from a 20 cm long thin wire .If the breadth of the rectangle is 3 cm , then what is the length of th...

https://brainly.in/question/34792847