example 1: fred is designing a new swimming pool that will have a length of 34 feet. he plans to...
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Example 1: Fred is designing a new swimming pool that will have a length of 34 feet. He plans to make a scale drawing of the pool. In his drawing, ¼ inch represents 1 foot. How long
should the drawing of the pool be, in inches?
actual
model
actual
model
feet 34
in X
foot 1
in 0.25
x
x
feet 5.8
1)34(25.0
The drawing of the pool should be 8.5 inches long.
Example 2:
actual
model
actual
model
feet X
blocks 10
foot 0.5
block 1
ft 5
)10(5.01
x
x
The actual dresser is 5 feet wide.
Example 3: Theresa drives from her house in Olean to Albany to visit a friend. The scale of the map is ½ inch = 25 miles. If Theresa measures a distance of 6.25 inches on the map, what is the actual distance between the cities?
actual
map
actual
map
miles X
inches 6.25
miles 25
inches 0.5
miles 5.3125.0
25.156
5.0
5.0
)25.6(255.0
x
x
x
The actual distance is about 312.5 miles.
Example 4: A wall in a room is 15 feet long. On a scale drawing, it is shown as 6 inches long. What is the scale of the drawing?
The scale of the drawing is 1 inch = 2.5 feet.
actual
model
actual
model
ft X
inch 1
feet 15
inches 6
ft 5.2
)15(16
x
x
Example 5: On a map, the distance between two towns is 4 ¾ inches. The actual distance between the towns is 380 miles. What is the scale of the map?
The scale of the map is 1 inch = 80 miles.
actual
map
actual
map
miles X
inch 1
miles 380
inches 4.75
miles 80
)380(175.4
x
x