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 Blank

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 Blank

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.