**The area of a shape is the space inside the shape. Area is measured in squares. **

Here is a rectangle drawn on a centimetre grid.

To find the area of a rectangle multiply the length by the width.

(We could also count the squares but this will not work from more complex questions)

In this example we have a length of 6cm and a width of 3cm.

Area = length × width

Area = 6 × 3**Area = 18 cm ^{2}**

The units are cm^{2}: one cm^{2} is a square that measures 1cm by 1 cm.

**Example 1: A rectangle is drawn on a centimetre gridCalculate the area of the rectangle**

Area = length × width

Area = 5 × 4**Area = 20cm ^{2}**

**Try this:**

A rectangle is drawn on a centimetre grid.

Calculate the area of the rectangle.

We can think of a triangle as half of a rectangle

To calculate the area of a triangle we can half the area of a triangle

The area of a triangle =

**Example 2: Here is a triangle drawn on a centimetre grid.Calculate the area of the triangle.**

Area =

Area =

Area = 2 × 6

**Area = 12cm ^{2}**

**Example 3: Calculate the area of the triangle.**

For the area calculation we use the perpendicular height (it must be straight up, not diagonal).

The height of this triangle is 12 metres.

Area =

Area =

Area = 4 × 12

**Area = 48m ^{2}**

**Try these:**

A triangle is drawn on a centimetre grid.

Calculate the area of the triangle.

Calculate the area of the triangle.

A parallelogram is a quadrilateral with two sets of parallel sides.

A parallelogram can be made into a rectangle by cutting off and moving a triangle:

The area of a parallelogram = base × height

**Example 4: Here is a parallelogram drawn on a centimetre grid.Calculate the area of the parallelogram.**

Area = base × height

Area = 4 × 3

**Area = 12cm ^{2}**

**Example 5: Calculate the area of the parallelogram.**

For the area calculation we use the perpendicular height (it must be straight up, not diagonal).

The height of this parallelogram is 11 metres.

Area = base × height

Area = 8 × 11

**Area = 88m ^{2}**

**Try these:**

A parallelogram is drawn on a centimetre grid.

Calculate the area of the parallelogram.

Calculate the area of the parallelogram.

The image below shows a trapezium, a trapezium (trapezoid in American English) is a quadrilateral with two parallel sides.

The area of a trapezium =

Where a and b are the lengths of the two parallel sides

This formula can be made by splitting the trapezium into a rectangle and a triangle (you don't have to know where the formula comes from, you just have to know the formula).

**Example 6: Find the area of the trapezium**

For the trapezium above:

Area =

Area =

Area = 8 × 7

Area = 56 cm^{2}

**Try these:**

A trapezium is drawn on a centimetre grid.

Calculate the area of the trapezium.

Calculate the area of the trapezium.

The perimeter of a shape is the distance around the edge of the shape

Here is a rectangle drawn on a centimetre grid.

To find the perimeter of a shape we add up the lengths of all of the sides

This rectangle has two sides with a length of 6cm and two sides with a length of 3cm

Perimeter = 6 + 6 + 3 + 3

Perimeter = 18 cm

**Example 1: A rectangle is drawn on a centimetre gridCalculate the perimeter of the rectangle**

Perimeter = 5 + 5 + 4 + 4 **Perimeter = 18cm**

**Example 2: Calculate the perimeter of the triangle**

Perimeter = 10 + 9 + 7**Perimeter = 26m**

**Try these:**

A rectangle is drawn on a centimetre grid.

Calculate the perimeter of the rectangle.

Calculate the perimeter of the rectangle.