# Worksheet: Solving Problems Involving Scale Drawings

Q1:

Given a scale drawing, which of the following is equal to the real length?

• A
• B
• C
• D

Q2:

The radii of two circles are 12 cm and 4 cm. Find the scale factor of the first circle to the second.

• A
• B
• C
• D
• E

Q3:

If the distance between two cities on a map is 13.5 cm and the map has a drawing scale of , determine the actual distance between the cities.

Q4:

Determine the scale factor for the following: 1 inch = 4 feet.

• A
• B
• C
• D
• E

Q5:

Determine the scale factor for .

• A
• B
• C
• D
• E

Q6:

Using the shown scale drawing of a room, determine its actual length if its actual width is 36 feet.

Q7:

Determine the actual length and width of the given rectangle which is drawn to a scale of 1 in = 2 ft.

• A length = 6 in, width = 3 in
• B length = 12 in, width = 6 in
• C length = 6 ft, width = 3 ft
• D length = 12 ft, width = 6 ft
• Elength = 3 ft, width = 1 ft

Q8:

Find the scale factor used to dilate square to square .

• A
• B
• C
• D
• E2

Q9:

An engineer makes a model of 600-meter-tall tower to a scale of . What is the model’s height in centimeters?

Q10:

A picture of a tower is taken with a drawing scale of . If the height of the tower in the picture is 6 cm, what is its real height?

• A 1 m
• B 50 m
• C 294 m
• D 18 m
• E 3 m

Q11:

A square-shaped piece of land has a perimeter of 672 m. If you use a scale of to make a drawing of the land, how long would each side of the drawing be in centimetres?

Q12:

João made a drawing of his brother Leonardo with a drawing scale of . If Leonardo’s height is 135 cm, what is his height in the drawing?

• A 90 m
• B 120 cm
• C 13 cm
• D 9 cm
• E 15 cm

Q13:

A line on a drawing is 3 cm long. In real life, the object represented is km long. What is the drawing scale?

• A 1 : 245 000
• B 1 : 73 500
• C 1 : 300
• D 1 : 2 450 000
• E 1 : 7 350 000

Q14:

An apartment’s ceiling is 19 feet high. However, its height on a scale drawing is only 4 inches. Determine the scale of the drawing.

• A 1 inch = 57 feet
• B 1 inch = 0.21 feet
• C 1 inch = 2.53 feet
• D 1 inch = 4.75 feet
• E 1 inch = 14.25 feet

Q15:

If the scale factor from a statue to a reduced model for a display is 16 feet to 7 feet, and the height of the original statue is 55 feet, find the height of the model.

• A 46 ft
• B ft
• C ft
• D ft
• E ft

Q16:

The figure below represents the floor plan of a house, where the drawing scale is . What is the real-life area of the living room?