Scale Drawing Problems

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

A rectangle has the dimensions 4cm by 5cm. A scale factor of 3 is used to enlarge the rectangle. What is the new area?

• 20 cm²

• 60 cm²

• 180 cm²

• 100 cm²

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

True or False: The scale tells us what some length on the scale drawing represents in actual length

• True

• False

The distance from Point A to Point B on a scale drawing is 6 cm. If the scale is 1cm : 10m. What is the actual distance from A to B?

• 6 m

• 10 m

• 18 m

• 60 m

A map has a scale of 1 cm=5km.  On the map, two cities are 3 cm apart. What is the actual distance between these cities? 

• 7 km

• 5 km

• 15 km

• 17 km 

Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?

• 14 in

• 7 in

• 42 in

• 56 in

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

Review the picture.  Find the missing side measurement in the picture using a proportion.

• w = 18 m

• w = 6 m

• 6 m

• w = 0.16 m

A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?

• 9ft x 10ft

• 1ft x 2ft

• 12ft x 6ft

• 18ft x 20ft