Scale Factor to Find Length

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?

• 87 km

• 216 km 

• 33 km

• 192 km

If the scale factor is less than one, the new figure will be

• an enlargement

• a reduction

• a scale factor

• bigger

If the scale factor is greater than one, the new figure will be

• reduction

• enlargement

• scale

• not proportional

What is the scale factor if the triangle on the left is the original?

• 2

• 3/2

• 2/3

• 1/2

Robbie made a scale drawing of a neighborhood park. A soccer field in the park is 14 inches long in the drawing. The actual field is 98 yards long. What is the scale of the drawing?

1 inch = _ yards

• 1372

• 5

• 14

• 7

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet

• 21 feet

• 27 feet

• 32 feet

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner?

• 72 in

• 60 in

• 62 in

• 80 in

Megan drew a scale drawing of a house and its lot. The scale she used was 1 inch = 2 feet. The backyard is 78 feet long in real life. How long is the yard in the drawing?
____ = ____

• 39 inches

• 156 inches

• 38 inches

• 157 inches

An architect is drawing a house and decides that 1.5 inches = 2 feet in his drawing. In real life the living room has a length of 17 feet. How long will the length of the room be on his blueprint (drawing)?

• 12.75 inches

• 15.5 inches

• 22.67 inches

• 51 inches