Proportions Using Scale Drawing

Proportions and Scale Drawings

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Multiple Choice

A model length of 12 cm represents an actual length of 102 feet. The model has a width of 48 cm. What is the width of the actual object?

• 408 feet
• 408 cm
• 40.8 ft
• 5.65 cm

Multiple Choice

The scale of the map is 1/4 in: 18 mi. The state capitol is 252 miles from the border. How far is the state capitol from the border on the map?

• 3½ mi

• 1008 mi

• 2 ¼ mi

• 3 ½ in

Multiple Choice

A model of a car has a scale of 3 cm: 2 m. The length of the actual hood of the car is 1 m. What is the length of the hood of the model?

• 1.5 m
• 1.5 cm
• 15 cm
• 6 cm

Multiple Choice

A blueprint of a house has a scale of 1 in = 6 ft. the living room has dimensions (width x length) of 18 ft by 24 ft. What are the dimensions on the blueprint of the living room? (use 2 different proportions; one for width and one for length)

• w = 108 in, l = 144 in
• w = 3 in; l = 144 in
• w = 3 in; l = 4 in
• w = 3 ft; l = 4 ft

Multiple Choice

Using 2 in = 35 miles, solve:  The distance between Troy City and Ben City is 315 miles. How far apart are they on the map?

• 18 miles
• 18 inches
• 5512.5 inches
• 5512.5 miles

Multiple Choice

Find side length X.

• 30
• 25
• 15
• 40

Multiple Choice

The pair of figures is similar. Find the missing side.

• x = 20
• x = 12
• x = 5
• x = 4

Multiple Choice

Solve for x

• x=6
• x =1/6
• x = 7
• x=9

Multiple Choice

A rectangular garden is 45 ft wide and 70 ft long. In a drawing, the width is 9 in. Identify the length on the drawing.

• 7 in

• 9 in

• 12 in

• 14 in

• 14 ft

Multiple Choice

How many cm would the model of the arch be?

• 40 cm
• 44 cm
• 46 cm
• 48 cm

Multiple Choice

This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?

• 63 m

• 235 m

• 315 m

• 630 m

Multiple Choice

This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?

• 63 m

• 235 m

• 315 m

• 630 m

Multiple Choice

A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?

• 90 ft
• 7.5 ft 
• 4.5 ft
• 45 in

Multiple Choice

On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?

• 200 miles
• 175 miles
• 100 miles
• 125 miles

Multiple Choice

On a map, Memphis, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles.

What scale was used to create the map?

• 42 inches = 1 mile
• 1 inch = 42 miles
• 40 inches = 1 mile
• 
  1 inch = 40 miles

Multiple Choice

If the distance from Chicago to Minneapolis on a map measures 3 inches and the scale is 1 inch equals 150 miles, how far apart are the cities in miles?

• 250 miles

• 350 miles

• 450 miles