Scale drawing, indirect measurement and similar figures

.  A drawing of an airplane has a scale of 1 cm :19 feet. If the airplane on the scale drawing is 2.5 centimeters long, find the length of the actual airplane.

• 3.8

• 4.75

• 47.5

• 475

A Stegosaurus skeleton at a museum has a height of 4 meters. The gift shop at the museum sells a model of the Stegosaurus. The scale used to create the model was 1 cm : 0.16 m. What is the height of the model of the Stegosaurus the gift shop sells?

• 0.04 m

• 0.064 m

• 20 cm

• 25 cm

In a photograph, a lighthouse has a scale of 27 centimeters high and 12 centimeters wide. If the actual lighthouse has a width of 8 meters, what is its actual height?

• 13.5 m

• 18.0 m

• 23.0 m

• 40.5 m

A 10-ft tree makes an 18-ft shadow. About how tall is a person who makes a 12-ft shadow at the same time?

• 4.0 ft

• 6.7 ft

• 12.9 ft

• 15.0 ft

Natasha stands 5.5 feet tall and has a shadow that measure 3 feet long. At the same time, a tree next to Natasha has a shadow that measures 12 feet long. How tall is the tree?

 

• 7 feet

• 15 feet

• 22 feet

• 40 feet

If a 12 ft tall building casts a 50 ft long shadow, then how long is the shadow that a 21 ft tall building casts?

• 87.5 ft

• 28.57 ft

• 5.04 ft

• 90 ft

Two similar rectangles are drawn at a scale of 1:3.  What is the area of the larger rectangle?

Two similar rectangles are drawn at a scale of 1:5.  What is the area of the larger rectangle?

Two similar rectangles are drawn at a scale of 1:4.  What is the area of the larger rectangle?

Two similar rectangles are drawn at a scale of 1:7.  What is the area of the larger rectangle?