Diagrams, charts and graphs
◄Previous: 1.1 Understanding scale diagrams

# 1.1.1 Try some yourself

## Activity 1

On the plan of the bathroom in Example 1, what is the width of the window and what are the dimensions of the wash basin?

## Answer

The window in the diagram is 1.1 squares wide, so in reality it is 1.1 m wide.

The wash basin in the diagram is of a square deep by of a square wide, so in reality it is 0.7 m by 0.9 m.

## Activity 2

On a scale diagram, 5 cm represent 1 m. What lengths do the following represent: 10 cm, 20 cm, 1 cm?

## Answer

On the diagram, 5 cm represent 1 m.

As 10 cm are 2 × 5 cm, they represent 2 m.

As 20 cm are 4 × 5 cm, they represent 4 m.

As 1 cm is , it represents m or 0.2 m.

## Activity 3

On a map of a new town, 2 cm represent 1 km. What lengths on the map represent the distances of 10 km, 5 km and 0.5 km in the town?

## Answer

On the map, 1 km is represented by 2 cm.

Thus:

10 km are represented by 10 × 2 cm = 20 cm;

5 km are represented by 5 × 2 cm = 10 cm;

0.5 km is represented by 0.5 × 2 cm = 1 cm.

## Activity 4

Draw a scale plan of the garden described below, using a scale in which 0.5 cm represents 1 m.

The garden is rectangular and measures 10 m by 20 m. It has flowerbeds that are 2 m wide along the whole of one of the long sides and along both of the short sides. A 1.5-m-wide path occupies the rest of the other long side. Another path, also 1.5 m in width, makes a T-junction with this path and leads straight to a sundial at the centre of the garden.

## Answer

Your scale plan should look something like this:

## Activity 5

Below is a scale plan of a new bungalow and its garden. Use the ruler to answer these questions. The scale is measured in metres.

- (a) How wide is the back garden?

- (b) What are the dimensions of the lounge?

- (c) Wall units (of full room height) come in sections 1 m wide and 0.3 m deep. How many units can be fitted round the walls of the lounge without blocking the windows or door? Draw a larger scale plan of the lounge to show how these wall units can be arranged.

- (d) Is the bathroom big enough for a 1.8 m by 0.8 m bath?

Now click on 'Reveal answer' for a more detailed solution.

## Answer

- (a) The side of 1 big square on the plan represents 2 m. The garden is 6 big squares wide on the plan. This means it is actually 12 m wide.

- (b) The lounge is 19 small squares by 24 small squares on the plan. Each small square represents 0.2 m. So the lounge is 3.8 m by 4.8 m.

- (c) There is room for a maximum of seven wall units: one on either side of the side window; none on the front wall; three on the wall next to the hall; and two on the wall adjoining bedroom 1. One possible arrangement is shown below.

- (d) There is room for the bath. It can be placed along the back wall, next to the shower.

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