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Scale Drawing Worksheets

Scale Drawing Worksheets
  • Page 1
 1.  
A tree is 54 meters high. George used a scale of 1 inch : 9 meters to draw the picture of the tree. Find the height of the tree in George′s picture.
a.
6 inches
b.
54 inches
c.
6 meters
d.
8 meters


Solution:

Let h be the height of the tree in George′s picture.

1 / 9 = h54
[Write the proportion using the scale.]

9 × h = 54 × 1
[Write the cross products.]

h = 6
[Simplify.]

The height of the tree in his picture is 6 inches.


Correct answer : (1)
 2.  
An artist drew a sketch of the Eiffel Tower and it measured 80 cm in height. Find the scale used, if the actual height of the tower is 320 m.
a.
4 m : 1 cm
b.
1 cm : 4 m
c.
1 cm : 2 m
d.
1 cm : 8 m


Solution:

The scale is the ratio of the length of sketch to the actual height of the tower.

80 cm320 m = 80 ÷ 80320 ÷ 80 = 1 / 4 or 1 : 4
[Divide both numerator and denominator by 80.]

The artist used a scale of 1 cm : 4 m.


Correct answer : (2)
 3.  
A lamp post measures 5 cm long in a picture. Find the actual height of the lamp post using a scale of 1 cm : 4 ft.
a.
1.25 ft
b.
20 ft
c.
20 cm
d.
25 ft


Solution:

Let h be the actual height of the lamp post.

1 / 4 = 5h
[Write the proportion using the scale.]

h × 1 = 4 × 5
[Write the cross products.]

h = 20
[Simplify.]

So, the actual height of the lamp post is 20 ft.


Correct answer : (2)
 4.  
The figure shows the layout of a house. If the actual length of the living room is 12 ft, find the scale used to draw the layout.


a.
1 cm : 4 ft
b.
1 cm : 5 ft
c.
4 cm : 1 ft
d.
1 in. : 4 ft


Solution:

The scale is the ratio of the length of the living room in the picture to its actual length.

3 cm12 ft = 3 ÷ 312 ÷ 3 = 1 / 4 or 1 : 4
[Divide both numerator and denominator by 3.]

So, the scale used to draw the layout is 1 cm : 4 ft.


Correct answer : (1)
 5.  
A drawing of a table has a scale of 1 inch equal to 3 feet. Find the actual length of the table, if the length of the table in the scale drawing is 4 inches.
a.
3 4 feet
b.
18 feet
c.
12 feet
d.
4 feet


Solution:

Let l be the actual length of the table.

13 = 4l
[Write the proportion using the scale.]

l × 1 = 4 × 3
[Write the cross products.]

l = 12
[Simplify.]

The actual length of the table is 12 feet.


Correct answer : (3)
 6.  
Jim is preparing a map. His school is 4 miles from his house. If he uses a scale of 1 inch : 0.5 mile, then what is the distance between his school and his house on the map?
a.
2 inches
b.
20 inches
c.
4 inches
d.
8 inches


Answer: (d)


Correct answer : (4)
 7.  
A map was scaled such that one inch equals 120 miles. If Boone and Ashton are 4 3 inches apart on the map, then what is the actual distance between them?
a.
160 miles
b.
90 miles
c.
480 miles
d.
30 miles


Answer: (a)


Correct answer : (1)
 8.  
The scale used in a map is 2 in. : 3 ft. Find the actual height of a bridge, if it measures 2 in. on the map.
a.
3 ft
b.
2 ft
c.
4 ft
d.
5 ft


Solution:

Let n be the actual height of the bridge.

23 = 2n
[Write the scale and its related proportion.]

n × 2 = 2 × 3
[Write the cross Products.]

n = 3
[Divide both sides by 2.]

So, the actual height of the bridge is 3 ft.


Correct answer : (1)
 9.  
An artist used a scale of 1 in. : 3 m to draw a chapel. If the chapel measured 12 in. in his sketch, find the actual height of the chapel.
a.
37 m
b.
35 m
c.
38 m
d.
36 m


Solution:

Let n be the original height of the chapel.

13 = 12n
[Write the scale and its related proportion.]

n × 1 = 12 × 3
[Write the cross products.]

n = 36
[Multiply.]

The actual height of the chapel is 36 m.


Correct answer : (4)
 10.  
Jerald has a book, which contains pictures of different cars. He observes that the height of a car in one of the pictures is 5 cm. The scale used to draw the picture of the car is 1 cm : 11 in. Find the actual height of the car.
a.
57 in.
b.
55 in.
c.
53 in.
d.
58 in.


Solution:

Let n be the actual height of the car.

111 = 5n
[Write the scale and its related proportion.]

1 × n = 11 × 5
[Write the cross products.]

n = 55
[Simplify.]

The actual height of the car is 55 in.


Correct answer : (2)

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