Scale Drawings Scale Factor and Similar Figures

Lindy is planning to build a train model using a scale where 2 inches represents 25 feet. If the train is 60 feet long, what is the length in inches that Lindy should build the model train?

• 9.6 in.

• 2.4 in.

• 4.8 in.

• 1.2 in.

The scale on a map shows 3/4 in. represents 3 miles. What is the length of the road on the map if the actual road length is 30 miles?

• 6 ½ in.

• 7 ½ in.

• 3/40 in.

• 36 in.

A teacher asks students to enlarge the figure below using a scale factor of 1.5, which figure correctly represents that enlarged figure?

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A student reduced the dimensions of the rectangle using a scale factor of ½ . What is the area of the reduced rectangle?

• 56 m²

• 28 m²

• 112 m²

• 448 m²

Jonathan made a reduced copy of his favorite picture as shown below. The reduced copy is similar to the original. If the width of the reduced picture is 7 inches, what is h, the height of the reduced picture?

• 12 in.

• 3 in.

• 8 in.

• 5 in.

A photographer is taking a photo of a statue of Paul Bunyan, the legendary giant lumberjack.  The photographer is 6 ft tall and casts a shadow of 1.5 ft.  If the statue casts a shadow of 4.5 m, how tall is the statue?

• 18 m
• 16 m
• 2 m
• 24 m

The scale of a model plane is 1 inch to 12.25 feet. The wingspan of the model place is 7 inches. What is the length, in feet, of the actual wingspan of the plane?

• 85.75 feet

• 42.8 feet

• 13.25 feet

• 1.75 feet

Pete’s blueprint shows a layout of a house. Every 4 inches in the blueprint represents 3 feet of the actual house. The back wall of the house is 33 feet long. What is the length of the back wall in the blueprint?

• 26 in.

• 44 in.

• 29 in.

• 40 in.

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

• 2
• 3/2
• 2/3
• 1/2

How tall is the tree in the picture below? Grid your answer in the space provided.

• 33

• 3.3

• 0.33

• 3.33