Question

scale diagrams
a scale diagram is a drawing that is an enlargement of a small object, or a reduction of a large object.
example
red blood cells
enlargement (cells can not be seen by the human eye)
pot bellied pig
reduction (a pot bellied pig can grow to 65 cm in height)
drawing scale diagrams
step 1 - measure all actual sizes. create a chart for all required measurements.
step 2 - choose a scale. for example: 1 square is 50cm.
step 3 - calculate number of squares to use on diagram. write in your chart.
item actual size number of squares needed on diagram
scale: 1 square : 50 cm
length of room 300 cm 300 ÷ 50 = 6
width of room 150 cm 150 ÷ 50 = 3
step 4 - use grid paper and a ruler to draw the scale diagram.
step 5 - record the scale on the drawing
scales can be written using a colon.
1 square : 50 cm

by using grid paper, both metric and imperial can be used.

unit 2 - proportional reasoning - 3 - mat2l

Explanation:

Step1: Understand scale concept

A scale is a ratio between diagram - size and actual size.

Step2: Given scale example

Scale is 1 square : 50 cm.

Step3: Calculate for length

For length of room (300 cm), number of squares = $\frac{300}{50}=6$.

Step4: Calculate for width

For width of room (150 cm), number of squares = $\frac{150}{50}=3$.

Answer:

The number of squares for the length of the room is 6 and for the width is 3 when the scale is 1 square : 50 cm.