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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...
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.
The scale can be expressed in four ways: in words (a lexical scale), as a ratio, as a fraction and as a graphical (bar) scale. Thus on an architect's drawing one might read 'one centimeter to one meter', 1:100, 1/100, or 1 / 100 . A bar scale would also normally appear on the drawing.
A centimeter diagram, also known as a centimeter grid or centimeter paper, is a type of graph paper that is divided into squares or boxes, with each side of the square measuring one centimeter. It is commonly used in mathematics and engineering to represent and analyze measurements and spatial relationships.
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.
A scale drawing is a proportional two-dimensional drawing of an object. A scale model is a proportional three-dimensional model of an object. Measurements in scale drawings and models are proportional to the measurements of the actual object.
The statement “1 cm represents 2 m” is the scale of the drawing. It can also be expressed as “1 cm to 2 m,” or “1 cm for every 2 m.” What do you think the scale tells us? How long would each measurement from the first question be on an actual basketball court? Explain or show your reasoning.
