Thursday, November 28, 2013

8.5 Making Scale Drawings

A scale drawing is a drawing that represents something in real life. The scale gives the relationship between the lengths on the drawing and the real-life lengths. you can write a scale in three ways: 1.using the word represents for example, 1 cm represents 100 cm 2.using the word to ,for example `1 to 100,     3. using a ratio sign ,for example ,1:100
 when you write a scale using to or the ratio sign,the number you use must be in the same units.so you must write the scale'1 cm represent 10 cm 'as either '1 to 1000or '1:1000. the scale '1 to 10'or 1:10' means that every centimetre on the drawing represents 10 centimetres in real life. To change a length on a drawing to a length in real life, multiply by the scale.
To cgange a length in real life to a length on a drawing. divide by the scale.



Worked Example 
a. 
Tanesha makes a scale drawing of the font of a building. She uses a scale of  ' 1 cm represents 5 m'.
      i   On her drawing, the building is 12 cm long. How long is the building in real life?
      ii  The building in real life is 120 m tall. How tall is the building in the scale drawing?

A. i 12 x5= 60 m   multiply the length on the drawing by the scale of 5 to get to real life length .
remember to include units(m) with your answer .
A. ii 120/5 = 24 cm divide the height in real life by the scale of 5 to get the height of the drawing.
remember to include the units (cm) with your answer

1. Hassan draws a scale drawing of a room. She uses a scale of '1 cm represents 50 cm'
     a. On his drawing the playing field is 18 cm long. How long is the room in real life?
           give the answer in meters.
   b. The playing field in real life is 80 m wide. How wide is the playing field in the scale drawing?

a.=180m

b.=8cm


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