Question

the perimeter of a square field is 160m. find the area and its diagonal​

Answer 1

160 ➗4= 40 cm
40 cm✖️40 cm= 800 cm squared
NOTE- DIAGONAL IS IN THE ATTACHMENT

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Answer 2

Answer:-

The area of the square field is 1600 m² and it's diagonal is 40√2

Explanation:-

Given :

Perimeter of square field= 160 m

To find :

Area and diagonal of the square field

Solution :

Perimeter= 160 m

We know that the formula of perimeter of square is= (4 × Side)

(4 × Side) = 4s

$= > 4s = 160 \: m$

$= > s = \dfrac{160}{4} \: m$

$= > s = 40 \: m$

Therefore, The length of each side of the square field is 40 m.

Now, Formula of Area of Square= (Side × Side) sq.unit

$= > Area = (40 \times 40) {m}^{2}$

$= > Area = 1600 \: {m}^{2}$

Hence, The area of the square field is 1600 m².

Now, Formula of diagonal of square= √s²+s²

= √40²+40²

= √1600+1600

=√3200

=40√2

Therefore, Diagonal of the square field is 40√2