Question

20. The diagonal of a square is 5 V2 m. Find its area and perimeter.

Answer 1

Answer:

Step-by-step explanation:

area=5*5=25sq.m

perimeter =4*5=20m

Answer 2

Given :

• diagonal of a square is 5√2 m

To find :

• Area of square

• perimeter of square

Formula used :

• Area of square =( side)²
• perimeter of square = 4× side

Solution :

Diagonal of square = 5√2

Let length of sides of square be x.

Now , according to the question:-

$\implies \sf {(5 \sqrt{2} )}^{2} = {x}^{2} + {x}^{2}$

$\implies \sf 25 \times 2 = 2{x}^{2}$

$\implies \sf \dfrac{25 \times 2}{2} = {x}^{2}$

$\implies \sf \dfrac{25 \times 1}{1} = {x}^{2}$

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

$\implies \sf 5 \: m = {x}$

$\sf \: Area \: of \: square = {x}^{2}$

$\sf \implies Area \: of \: square = {5}^{2}$

$\sf \implies Area \: of \: square =25 {m}^{2}$

$\sf \: perimeter \: of \: square = 4 \times x$

$\sf \implies perimeter \: of \: square = 4 \times 5$

$\sf \implies perimeter \: of \: square =20 m$

Answer :

• Area of square = 25 m²
• perimeter = 20 m