Question

The area of a square is 4 times its side. What is the length of the square? *​

Answer 1

Answer:

When the area is increased 4 times it will be 100cm² and the side will be 10cm. Thus, perimeter will be 10cm × 4 = 40cm.

Answer 2

Step-by-step explanation:

Let the area be $A$ and the side be $s$. Then, according to the question:

$A = 4s$

Now, we know that the area of a square is the length of the side raised to the second power; $A = s^2$

$\therefore 4s = s^2$

$\Rightarrow 4 = s$

$\Rightarrow s = 4$

So, the length of the side of the square is $4\space\sf{units}$

It follows that the perimeter is $4 \cdot 4 = 16 \space\sf{units}$