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A scale
drawing is a drawing that represents a real object.
The scale of the drawing is the ratio
of the size of the drawing to the actual size of the object.
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Architects
and map-makers are examples of people who use scale drawings in
their field. What one does is represent a length by a much
smaller figure in order to put a facsimile of it on paper.
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Example:
The length of a
stadium is 100 yards and its width is 75 yards. If 1 inch represents
25 yards, what would be the dimensions of the stadium drawn on a sheet of
paper?
Solution:
You can take an
intuitive approach to this problem:
100
yards by 75 yards
100 yards = 4 inches (HINT: 100 / 25)
75 yards = 3 inches (HINT: 75 / 25)
Therefore, the dimensions would be 4 inches by 3 inches.
Or you can establish a
proportion:
(Notice that the inches are all
on the top and the yards are all on the bottom
for this solution. Other combinations are possible.)
Length:
25x
= 100
x = 4 inches |
Width:
25y
= 75
y = 3 inches |
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