Find the area of a square with side a when a is equal to the following values. Are the area of a square and the length of its side directly proportional quantities? Why or why not? a=2 cm

The area of square for side 2 cm is 4 cm², And yes area of square and length of side are directly proportional.

Step-by-step explanation:

Given as for square;

The side of square = a

The Area of square = side²

So, For side = a

The Area of square = a * a = a²

Now if a = 2 cm,

So, The side of square = a = 2 cm

∴ The Area of square = 2 * 2 = 2²

or, The Area of square = 4 cm²

So, from the above formula to get the area of square, it is clear the the side of square and the area of square are directly proportional quantities.

I. e Area of square ∝ side²

Hence the area of square for side 2 cm is 4 cm², And yes area of square and length of side are directly proportional. Answer