Scale Factor
The Lake Smith basketball team had a team picture taken of the players, the coaches, and the trophies from the season. The picture was 4 inches by 6 inches. The team decides to have the picture enlarged to a banner that measures 16 feet by 24 feet.
What scale factor is used to make the banner from the picture?
Scale Factor is 4
Kyle made a rectangular jewelry box for his mom. He decides that the area inside is not quite big enough, so he would like to make a new one that is 3 times as large. If the original width of the box was 3 inches and the length was 2 inches, what would be the perimeter and area of the new jewelry box?
The perimeter of the new jewelry box would be 30 inches and the area would be 72 in2.
A map has a scale of 1 inch = 10 miles. Pam wants to travel an actual distance of 120 miles. What will the length on the map be?
The length on the map will be 12 inches.
Helen made a scale drawing of an office building. A desk, which is 6 feet long in real life, is 2 inches long in the drawing. What scale factor did Helen use for the drawing?
She used a scale factor of 3.
A scale drawing of a warehouse has a scale of 1in:15ft. If the length of the warehouse on the drawing is 3 inches and the width is 4 inches, what is the perimeter and area of the actual warehouse?
P = 210 ft
A = 2700 ft2
A design for an office has a scale of .25 inch = 1 foot. The height of the office in the drawing is 3 inches. What is the actual height of the office?
The height is 12 feet.
Ryan is on a road trip. The distance from his current location to his destination is 3 inches on the map. In real life, the distance is 27 miles. What is the scale factor used?
Scale Factor is 9.
Shannon made a square flower box for her window area. All sides of the box are 8 cm. If he wants to increase the length of all sides by 1.5 cm, what will be the perimeter and area of the new box?
Perimeter = 12 cm
Area = 144 cm2
A blueprint of a new house has a scale of 1 inch = 13 feet. The length of the family room on the drawing is .75 inches. How long is the family room?
The family room is 9.75 feet long.
Maggie drew a scale drawing of her room. Her bed, which is 5.4 feet wide in real life, is 1.2 inches wide in the drawing. What is the scale factor of the drawing?
The scale factor is 4.5
A scale drawing of a volleyball court has a length of 27.2 cm and a width of 12.4 cm. If the scale of the drawing is 1 cm: 2.25 feet, what is the area of the actual volleyball court?
The area of the actual volleyball court is 1,707.48 ft2
Gina is on a road trip, and is reading a map that has a scale of 1 in: 25 miles. Her trip measures 2.3 inches on the map. What will be her actual distance for the trip?
Her distance will be 57.5 miles.
Aaron made a scale drawing of a mall. The actual width of a shoe store in the mall is 51.25 feet. The width on the drawing is 8.2 inches. What scale factor did Aaron use?
The scale factor is 6.25
A scale drawing of a rectangular swimming pool has a length of 1.2 cm and a width of 3.3 cm. If the scale of the drawing is 1 cm: 3.8 feet, what is the area of the actual swimming pool?
*Round to the nearest hundredth
The area is 57.18 ft2
John is building a model car. The scale is 1 in: 2 ft. The actual length of the car is 10.7 feet. How long will the length of the model car be?
The length will be 5.35 feet.