Question

the length of diagonal of ⬛ square is 50 cm .. find the perimeter of square ​

Answer 1

x square+ x square=50

2x square =50

x square =50/2

x =25root

x=5

Answer 2

Given:

↬The length of diagonal of square is 50 cm.

To Find:

➺The perimeter of square

Solution:

here we use the formula:

$\sf : ⟹ \blue{{side}^{2} + {side}^{2} = diagonal}$

let's start.!

$\sf : ⟹ {s}^{2} + {s}^{2} = 50 \: \\ \\ \sf : ⟹2 {s}^{2} = 50 \: \: \: \: \: \: \: \\ \\ \sf : ⟹ {s}^{2} = \cancel \frac{50}{2} \: \: \: \: \: \: \: \: \\ \\ \sf : ⟹ {s}^{2} = 25 \: \: \: \: \: \: \: \: \: \\ \\ \sf : ⟹side = \sqrt{25} \: \\ \\ \sf : ⟹side = \pink{ 5cm} \:$

$\sf{ \red{ \underbrace{ \: perimeter \: of \: a \: square = 4 \times side}}}$

$\sf : ⟹perimeter = 4 \times 5 \\ \\ \sf : ⟹perimeter = 20cm$

$\blue{ \underline{ \boxed{ \pink{ \mathfrak{ \therefore \: perimeter \: of \: the \: square = 20cm}}}}}$

hope this helps.!!