﻿ Scale Drawing Worksheets | Problems & Solutions # Scale Drawing Worksheets

Scale Drawing Worksheets
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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.

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.

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.

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.

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. $\frac{3}{4}$ 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.

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

7.
A map was scaled such that one inch equals 120 miles. If Boone and Ashton are $\frac{4}{3}$ 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

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.

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.

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.