Question

Find the side of a square of area
(i) 169 cm²
(ii) 729cm²
(iii)441m²
Please solve With the Whole process ☺​

Answer 1

Answer:

✮Formula used:

Area of the square = side×side

Side of the square= √area

✮Solution:

I) Given:

Area = 169cm²

$⇒Side \times Side = 169 {cm}^{2}$

$⇒Sid {e}^{2} = 196$

$⇒Side = \sqrt{196}$

$⇒Side = 14cm$

Therefore, The side of the square is 14cm.

ii) Given:

Area = 729cm²

$⇒Side \times Side =729 {cm}^{2}$

$⇒Sid {e}^{2} =729$

$⇒Side = \sqrt{729}$

$⇒Side = 27cm$

Therefore, The side of the square is 27cm

iii) Given:

Area= 441m²

$⇒Side \times Side =441 {m}^{2}$

$⇒Sid {e}^{2} =441$

$⇒Side = \sqrt{441}$

$⇒Side = 21m$

Therefore, The side of the square is 21m.

Answer 2

Formula used:

Area of the square = side×side

Side of the square= √area

✮Solution:

I) Given:

Area = 169cm²

⇒Side \times Side = 169 {cm}^{2} ⇒Side×Side=169cm

2

⇒Sid {e}^{2} = 196⇒Side

2

=196

⇒Side = \sqrt{196} ⇒Side=

196

⇒Side = 14cm⇒Side=14cm

Therefore, The side of the square is 14cm.

ii) Given:

Area = 729cm²

⇒Side \times Side =729 {cm}^{2} ⇒Side×Side=729cm

2

⇒Sid {e}^{2} =729⇒Side

2

=729

⇒Side = \sqrt{729} ⇒Side=

729

⇒Side = 27cm⇒Side=27cm

Therefore, The side of the square is 27cm

iii) Given:

Area= 441m²

⇒Side \times Side =441 {m}^{2} ⇒Side×Side=441m

2

⇒Sid {e}^{2} =441⇒Side

2

=441

⇒Side = \sqrt{441} ⇒Side=

441

⇒Side = 21m⇒Side=21m

Therefore, The side of the square is 21m.