Question

3. Find the length of one side and perimeter of a square
whose area is :
(ii) 144 m
(iii) 256 cm
(iv) 961 dm
2
(i) 25 m?
2
2.
20​

Answer 1

Answer:

(i) Side = 12 m

Perimeter = 48 m

(ii) Side = 16 cm

Perimeter = 64 cm

(iii) Side = 31 dm

Perimeter = 124 dm

(iv) Side = 5 m

Perimeter = 20 m

Step-by-step explanation:

Area of a square is a² where a is square's side.

Perimeter of square is 4a where a is square's side.

(i) Area = 144 m

∴ a = √144 => 12 m

∴ Perimeter = 4(12) => 48 m

(ii) Area = 256 cm

∴ a = √256 => 16 cm

∴ Perimeter = 4(16) => 64 cm

(iii) Area = 961 dm

∴ a = √961 => 31 dm

∴ Perimeter = 4(31) => 124 dm

(iv) Area = 25 m

∴ a = √25 => 5 m

∴ Perimeter = 4(5) => 20 m