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 |

[Write the proportion using the scale.]

9 ×

[Write the cross products.]

[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 |

[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 |

[Write the proportion using the scale.]

[Write the cross products.]

[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 |

[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. | $\frac{3}{4}$ feet | ||

b. | 18 feet | ||

c. | 12 feet | ||

d. | 4 feet |

[Write the proportion using the scale.]

[Write the cross products.]

[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 |

Correct answer : (4)

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 |

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 |

[Write the scale and its related proportion.]

[Write the cross Products.]

[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 |

[Write the scale and its related proportion.]

[Write the cross products.]

[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. |

[Write the scale and its related proportion.]

1 ×

[Write the cross products.]

[Simplify.]

The actual height of the car is 55 in.

Correct answer : (2)

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