Question

In a square, x represents the length of its side. Which value of x illustrates that the area and the

perimeter of the square have the same value. Show your supporting work.

Answer 1

Area of square is given by ,
`A=x^2`.

Perimeter of square is , P = 4x .

We need to find value of x when area and perimeter are equal :

So ,

`x^2=4x\\\\x(x-4)=0\\\\x=4`

For x = 4 units area is equal to the perimeter of square.

Hence, this is the required solution.