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