Question

A square has a perimeter of 36cm.Find the area of the square

Answer 1

Answer:81 square centimeters.

Explanation:

To find the area of a square, we need to know the length of one side of the square. In this case, we are given the perimeter of the square, which is 36 cm.

Since a square has four equal sides, we can divide the perimeter by 4 to find the length of one side:

Length of one side = Perimeter / 4

Length of one side = 36 cm / 4

Length of one side = 9 cm

Now that we know the length of one side of the square is 9 cm, we can calculate the area of the square:

Area = (Length of one side)²

Area = 9 cm * 9 cm

Area = 81 cm²

Therefore, the area of the square is 81 square centimeters.

Answer 2

Area & Perimeter

We know the square's perimeter, and unless we find its side lenght, we won't be able to find its area.

Remember the formula for a square's perimeter: P = 4a

We can easily rearrange it for a by dividing both sides by 4:

P/4 = a

Substitute 36 for P:

36/4 = a

9 = a

Now to find the area, simply square the side length:

A = a²

= 9²

= 81

So the square's area is 81 cm^2.