KPrep Review1-Scale & Unit Rate

A print shop manager is using the scale drawing shown below to make a rectangular banner. The scale from the banner to the drawing is 2 ft to 1 in.

What is the area of the actual banner?

• 7 in²

• 25.375 in²

• 14.5 in²

• 101.5 in²

Mike and Talia each make a scale drawing of the right side of their house. The scale of the side of the actual house to Mike's drawing of the side of the house, shown below, is 3 ft to 1 in.

The scale of the side of the actual house to Talia's drawing of the side of the house is 5 ft to 1 in.

What are the width and height of the house in Talia's scale drawing?

• w=7.25in h=9.5in

• w=21.75ft h=28.5ft

• w=4.35in h=5.7in

• w=36.25ft 47.5ft

An architect creates two different blueprints for a new storage building.

The scale from the building to the first blueprint is 8 ft to 2 cm. The length of a type A storage unit is 6.5 cm on the first blueprint.

The scale from the building to the second blueprint is 24 ft to 4 cm. The length of the type B storage unit is 4.5 cm on the second blueprint.

Which type of storage unit is longer?

• A

• B

• They are equal.

A trail map has a scale of 3 in: 2 mi. On the map, a trail is 5 1/4 in. long.

How long is the actual trail?

• 1 3/4 mi

• 2 5/8 mi

• 3 1/2 mi

• 7 7/8 mi

A concrete mason has a scale drawing of a rectangular retaining wall. The scale from the retaining wall to the drawing is 8 ft to 1 in.

What is the area of the actual retaining wall?

• 208 ft²

• 226 ft²

• 1804 ft²

• 1920 ft²

Two maps of a university campus are available to students.

The scale from the campus to map A is 18 m to 6 cm. The scale from the campus to map B is 32 m to 8 cm.

The distance from the cafeteria to the math building is 15.5 cm on map A. The distance from the bookstore to the math building is 12. 5 cm on map B.

Which is closer to the math building, the cafeteria or the bookstore?

• Cafeteria

• Bookstore

• They are the same distance.

The scale from the stadium video screen to this drawing is 9 ft to 1 in. The scale from the same video screen to a second drawing is 6 ft to 1 in.

What is the height of the second drawing of the video screen?

• 3.5 in

• 31.5 in

• 21 in

• 5.25 in

The shaded scale drawing represents the aerial view of a hotel swimming pool?

Select the figures that are also scale drawings of the hotel swimming pool.

• Figure 1

• Figure 2

• Figure 3

• Figure 4

A furniture company is working on a model of a table that has a scale of 3 in: 2 ft. The length of the model is 6 1/2 in.

What is the actual length of the table?

• 4 1/3 ft.

• 8 ft.

• 9 3/4 ft.

• 13 ft.

Determine the tables that show a unit rate greater than 1 pound per cubic foot.

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