## 16.3 Area and perimeter of squares

**Perimeter** is the total distance around the outside of a shape.

**Area** is the total space or surface of a flat shape.

- perimeter
- the total distance around the outside of a shape

- area
- the total space or surface of a flat shape

In the diagram below, the green line shows the perimeter of the square and the pink surface shows the area of the square.

The perimeter of a square is equal to the sum of the lengths of its four sides. We know that all sides of a square are equal in length, so the perimeter is equal to four times the length of the square (\(s\)).

The area of a square is equal to the length of a side squared:

\[\text{Area of a square } = s \times s = s^2\]## Worked example 16.6: Calculating the perimeter of a square

Determine the perimeter of the square.

### Calculate the perimeter of the square.

To determine the perimeter, we must find the sum of all four sides:

\[\text{Perimeter of the square } = 7 + 7 + 7 + 7 = 4 \times 7 = 28 \text{ m}\]### Write the final answer.

\[\text{Perimeter of the square} = 28 \text{ m}\]**Hint:** Always remember to include the units in the answer.

## Worked example 16.7: Calculating the area of a square

Find the area of the square.