## Area, Perimeter, Volume & Capacity

We will be using what we have learnt in prior years about area and learning to solve problems that involve area, perimeter, volume and capacity.

Perimeter link

Lesson aims: By the end of today you will be able to use the formula to find the area of a rectangle.

## Revisiting Concepts from Year 5 - Finding the Area and Perimeter of a rectangle

Today we will be revisiting how to find the area and perimeter of a rectangle.

There are several ways to find the perimeter of a shape, use the one that is easiest for you.

To find the area of a rectangle use the formula A = L × W

Practice using the examples below

There are several ways to find the perimeter of a shape, use the one that is easiest for you.

- add the sides together
- use the formula (2 × L) + (2 x W) = P
- use the formula 2 × (L + W)

To find the area of a rectangle use the formula A = L × W

**NOTE**: The answer to an area question**MUST**use the correct unit of measurement squared.Practice using the examples below

## Finding a missing length using the reverse of the formula for area

Lesson aims : By the end of today you will be able to find a missing side length of a rectangle, if you know the area and one side length.
Here is how to find a missing length of a rectangle if you have been given the area of a rectangle, and the measurement of one side. You divide the area by the side measurement, the answer of which will be the missing side length. (missing side) or W = area ÷ known side |

## Practice Problems

Measuring the area for an undercover gazebo.

Each group will need

- A copy of the school map
- 6 cones
- Squared paper, pencil, ruler and clipboard
- Measuring equipment - tape measure, trundle wheel

What each team must do

- On the oval, measure three different shapes with a perimeter of 60 metres, place cones on the corners (vertices) of your shapes.
- Draw your shape onto your squared paper (the scale will be 1 square = 1 metre)

## Finding the area and perimeter of a simple composite shape

A

Usually when dealing with a composite shape you are interested in finding its area or perimeter. There are two general methods for finding the area of a composite shape.

Regardless of what method you use, you will often have to think carefully in order to find the dimensions necessary for determining the area or perimeter.

**composite shape**or a**composite figure**is a shape that is made up of two or more common shapes.Usually when dealing with a composite shape you are interested in finding its area or perimeter. There are two general methods for finding the area of a composite shape.

**Method 1**: Find the individual areas of each piece of the composite shape. Divide the composite shape into smaller shapes such as rectangles, work out the area of each individual smaller shapes. The area of the larger composite shape will be the sum of the individual smaller areas.**Method 2**: Find the area of a shape larger than the composite shape and the areas of the pieces of the larger shape not included in the composite shape. The area of the composite shape will be the difference between the area of the larger shape and the areas of the pieces of the larger shape not included in the composite shape. This method will be explored in Example B.Regardless of what method you use, you will often have to think carefully in order to find the dimensions necessary for determining the area or perimeter.

## Composite Shapes Continued

Create a mini tutorial to explain to a beginner how to find the area and/or the perimeter of a composite shape. You will be paired up with a student to teach them how to do this.

Provide examples of how to find missing lengths, and how to find the area by breaking the shape into different parts.

Provide examples of how to find missing lengths, and how to find the area by breaking the shape into different parts.

## Composite Shapes with triangles

## More Challenging Composite Shapes

These examples are more tricky, you may need to convert the lengths into a common unit of measurement.