Scale Factor
In a scale drawing, a sofa is 3 inches long. If the actual length of the sofa is 5 feet long, find the scale factor.
1/20
The scale of a map is 1 inch : 85 miles. On the map, a river is 14 inches long. Find the actual length of the river in miles.
1190 miles
Ken measured the middle school and made a scale drawing. The scale of the drawing was 1 inch : 4 feet. The gym is 44 feet wide in real life. How wide is the gym in the drawing?
11 inches
On a map, 1 inch represents an actual distance of 2.5 miles. The actual area of a lake is 12 square miles. Find the area of the lake on the map.
1.92 square inches
**DOUBLE JEOPARDY**
5 = 7 + x
x = -2
On a blueprint, the length of a wall is 5 inches. The actual length of the wall is 85 feet. What scale factor is used for the blueprint?
1/204
Goodhope River is 48 miles long. What is the length of the river on a map with a scale of 1 inch : 15 miles?
3.2 inches
Sandra drew a scale drawing of a house and its lot. She used the scale 1 inch : 3 feet. If the backyard deck is 10 inches wide in the drawing, how wide is the actual deck?
30 feet
On a scale drawing, 1 inch represents 8 feet. In the drawing, the area of a living room is 25 square inches. Find the actual area of the living room.
1600 square feet
- 28 = - 7x
x = 4
An artist made a 12-inch painting of a water pitcher. Then, the artist reduced the size of the painting to 8-inches. Find the scale factor of the reduction.
2/3
** DOUBLE JEOPARDY**
Deb drew a scale drawing of a swimming pool. She used the scale 1 millimeter : 9 meters. The pool is 45 meters long in real life. How long is the pool in the drawing?
5 millimeters
Luther drew a scale drawing of an Italian restaurant. He used the scale 1 millimeter : 6 meters. In the drawing, the restaurant's kitchen is 3 millimeters wide. What is the width of the actual kitchen?
18 meters
The actual area of a pond is 1,024 square feet. What is the area of the pond on a scale drawing with a scale of 1 inch : 10 feet?
10.24 square inches
- 8.7 - 7.3x = - 6.2
x = -0.34
A model of a ship is 6 inches long. The actual ship is
550 feet (6,600 inches). Find the scale factor used for the model.
1/1100
Two cities are 7 inches apart on a map. If the scale of the map is 0.5 inch : 3 miles, what is the actual distance between the two cities?
42 miles
Kate drew a scale drawing of a neighborhood park. She used the scale 5 millimeter : 12 meters. The volleyball court is 3 millimeters long in the drawing. How long is the actual volleyball court?
7.2 meters
On a scale drawing, the area of a garden park measures 20 square inches. What is the actual area of the garden park if the drawing uses a scale of 1 inch : 12 feet?
2880 square feet
- 6x - 2.5 - 6.5x = 21.5
x= -1.92
The height of a building in a drawing is 15 inches. If the actual height of the building is 165 feet, find the scale factor of the drawing.
1/132
On a map, 2 inches represents an actual distance of 64 miles. Towns A and B are 608 miles apart. Find the distance between the two towns, in inches, on the map.
19 inches
A road map of a city uses a scale of 1 inch : 3 miles. If a street in the city is 1.3 inches long on the map, what is the actual length of the street?
3.9 miles
A cafeteria has an actual floor area of 6,000 square feet. What is the floor area on the blueprint if the scale of 1 inch : 10 feet is used?
60 square inches
5( x + 6 ) - 189 = 7( 5x + 3 )
x = -6