Scale Drawing and Models

A model of a tower uses a scale of $$\frac{1}{3}$$  inch = 2 feet. If the actual tower is 207 feet tall, find the height of the model.

The blueprint of an aircraft carrier uses a scale of 1 inch = 120 feet. If the aircraft carrier is $$9\ \frac{1}{10}$$  inches long on the blueprint, find its actual length.

The plans for a new street, show lamp posts that are 2.5 inches apart. If the plans use a scale of 0.5 inch = 9 yards, find the actual distance between the lamp posts.

A woman on a billboard is $$8\ \frac{3}{8}$$  feet tall. If the scale of the billboard is 1 foot = 8 inches,, what is her actual height?

The Golden Gate Bridge in San Francisco is 220 feet tall. If a model of the bridge is created with a scale of 3 feet = 80 feet, how tall is the model?

Plans were made for a rectangular garden to be planted outside a library. The plans use a scale of 1.6 cm = 2 m. If the garden is 14 cm by 10 cm on the scale, find the actual dimensions.

Mr. Jones is renovating his backyard, which includes extending his patio. The designs drawn by his landscaper use a scale of 1 inch = 3.5 feet. If the patio is 5 inches long on the diagram and the original patio is 9 feet long, by how many feet is he extending it?

Two citis, Ashville and Boulder, are 2.5 inches apart on a map. A third city, Wellspring is located exactly halfway between Ashville and Boulder. If the map uses a scale of 0.5 inch = 15 miles, find the actual distance from Wellspring to Boulder.

Max is building a model of the Washington Monument, which is 555 feet tall. If his model must fit in a 3 foot tall box, what scale must he use?

1 ft = (a)   ft

The length between consecutive bases on a major league baseball diamond is 90 feet.  Alvin wants to make a scale drawing of a baseball field.  If the bases are 2 ½ inches apart on his scale drawing, what is Alvin's scale?

1 inch = (a)   feet