The area of a square is 256 sq.cm. What is the value of the double of its perimeter ?

Correct option is D

Given:

1. The area of the square is 256 $${cm}^2$$​ .

2. We need to find the double of its perimeter.

Formula Used:

1. The side of a square is given by:

$$\text{Side} = \sqrt{\text{Area}}$$​

2. The perimeter of a square is given by:

$$\text{Perimeter} = 4 \times \text{Side}$$​

3. Double of the perimeter is:

$$\text{Double of the Perimeter} = 2 \times \text{Perimeter}$$​

Solution:

1. Calculate the side of the square:

$$\text{Side} = \sqrt{256} = 16 \, \text{cm}$$​

2. Calculate the perimeter:

$$\text{Perimeter} = 4 \times 16 = 64 \, \text{cm}$$​

3. Calculate the double of the perimeter:

$$\text{Double of the Perimeter} = 2 \times 64 = 128 \, \text{cm}$$​

Final Answer:

The double of the perimeter is 128 cm