The Scale Factor
Find the Scale Length
Scale Drawings
Find the Actual Length
100
What is a scale factor?
The number that can be calculated from the ratio of any length in the scale drawing to its corresponding length in the actual picture.
100
Ivan drew a scale drawing of his backyard at a scale of 1in : 3ft. If Ivan's deck is 48 feet wide in real life, what is the width of the deck in the drawing?
16 in
100
The second figure is a scaled copy of the first. Find the scale factor used from the first figure to the second figure in simplified fraction form.
What is 5/2 ?
100
Trent measured an Italian restaurant and made a scale drawing with a scale of 1mm : 7 m. If the kitchen is 4mm in the drawing, how long is the actual kitchen?
28 meters
200
Original Figure: 7 inches by 14 inches
Scaled Copy: 21 inches by 42 inches
What is "3"
200
Mitch was looking at a blueprint of West Lake that has a scale of 1 cm : 9 m. If the actual width of the building is 90 meters, what is the width of the school in the drawing?
10 cm
200
If the scale factor from Figure A to Figure B is 2/3. Find the scale factor from Figure B back to Figure A
What is 3/2?
200
Phillip drew a to scale floor plan of his house. If the scale he used was 1in : 4ft, and he drew the driveway 3 inches wide, how wide is the driveway in real life?
12 feet
300
Original figure: 2 inches by 6 inches
Scaled figure: 18 inches by 54 inches
What is 9?
300
Duncan measured a game room and made a scale drawing. The scale of the drawing was 8 inches : 3 feet. If the actual length of the pool table is 6 feet, how long is the pool table in the drawing?
16 in
300
A picture of a scale drawing of a rectangular park has an area of 35 square inches. If the picture was enlarged by a scale factor of 8 find the area of the enlarged picture
What is 2240 in2?
300
Clayton drew a scale drawing of a neighborhood park at a scale of 5 centimeters : 9 meters. In the drawing, the volleyball court is 10 centimeters long. What is the length of the actual volleyball court?
18 meters
400
Rectangle A: 5 inches by 25 inches
Rectangle B: 1 inch by 5 inches
What is 1/5
400
A Flagpole is 30 ft tall. Using the scale 3 in : 5 ft, draw a flagpole and label it's height.
Flagpole should be labeled 18 inches tall
400
Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of Rectangle A. Find the measures of Rectangle B with scale factors of 10, 1.5,
1/2
What is 90in by 30 in, 13.5in by 4.5in, and 4.5in by 1.5 in
400
A football field is 100 yards long.
Draw a football field and label it's length using your own scale.
Answers will vary.
500
Rectangle A: 9 inches by 24 inches
Rectangle B: 3 inches by 8 inches
What is "1/3"
500
Jean measured a basketball court and made a scale drawing. The scale of the drawing was 11 inches : 6 feet. If the actual length of the pool table is 48 feet how long is the pool table in the drawing?
88 in
500
A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. Find the area of the actual park, in square yards.
What is 56,000 yards2?
500
A map of a city has a scale of 1 inch represents 5 miles. If the distance between two landmarks on the map is 2.5 inches, what is the actual distance between the landmarks?
12.5 miles