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The scale drawing length of 4 centimetres represents the corresponding length of 5 metres on the real object. Work out the scale that has been used and write it in its simplest form. Write...
17 mar 2023 · Use the the scale to convert the actual distance to the scale distance. For example, if the scale is "1cm on the drawing is 5 m in real life" and the actual distance is 20 km, the scale distance will be (20 ÷ 5) cm = 4 cm. STEP 2. Draw this distance on the map if asked to do so.
The scale of 1 cm to 5 m could also be written as 1:500. This is the scale expressed as a ratio and it is independent of any units. A scale of 1:500 means that the actual real-life measurements are 500 times greater than those on the plan or map.
In this lesson, they extend this work in two ways: They compare areas of scale drawings of the same object with different scales. They examine how much area, on the actual object, is represented by 1 square centimeter on the scale drawing. For example, if the scale is 1 cm to 50 m, then 1 cm\(^2\) represents \(50\cdot50\), or 2,500 m\(^2\).
The scale of a drawing is usually stated as a ratio. For example, 1 \, cm \, \text{:} \, 5 \, m. You would read this as “ 1 centimeter to 5 meters” which means that every 1 centimeter on the diagram represents 5 meters in real life.
For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2. The new figure we get will be similar to the original figure, but all its dimensions will be twice that of the original rectangle. Here, the number 2 will be called the scale factor.
A scale that might be used is \(1\,cm\) represents \(1\,m\). This means that on the scale drawing every metre of real life measurement is represented by a line of 1 centimetre.
