Similar Shapes and Scale Drawings

Scale Drawings and Models

7.5(C) solve mathematical and real‐world problems involving similar shape and scale drawings

Red City is 6 cm away from Blue City on a map. The map has a scale of 1 cm: 40 mi. What is the actual distance between Red City and Blue City?

• What are our units?

• When going from one unit to another, set up a proportion!

• Label the proportion, fill it in, and solve.

A model of a statue has a scale of 1 ft: 50 ft. If the height of the actual statue is 200 ft, what is the height of the model?

• We have the same units here- feet.

• We are comparing the SCALE MODEL to the ACTUAL ​statue.

• Fill in the matching values and solve.​

Draw

A blueprint of a house has a scale of 1 in: 6 ft. If a bedroom has a width of 2 in on the blueprint, what is the actual width of the bedroom?

Draw

A model of a car has a scale of 2 in: 3 ft. If the actual length of the car is 20 feet, what is the length of the model?

Open Ended

The scale on a map is 2 cm: 25 mi. The actual distance between the two cities 175 miles. What is the distance between the two cities on a map?

Open Ended

A scale drawing of the school library has a length of 12 inches and a width of 11 inches. The length of the actual library is 84 feet. What is the width of the actual library?

Fill in the Blanks

An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet. The height of the sports stadium is 180 feet. The height of the scale model is

inches.

Fill in the Blanks

The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers. The actual distance between these two cities is

km.