Proportions in Similar Figures: Word Problems Galore!

A rectangle has a length of 8 cm and a width of 4 cm. If a similar rectangle has a length of 12 cm, what is its width?

• 7 cm

• 5 cm

• 9 cm

• 6 cm

Two triangles are similar. The first triangle has a base of 10 cm and a height of 5 cm. If the second triangle has a base of 15 cm, what is its height?

• 12.5 cm

• 5 cm

• 7.5 cm

• 10 cm

A model of a car is 1.5 feet long and 0.5 feet wide. If a similar model is 3 feet long, how wide is the larger model?

• 2.0 feet

• 1.0 feet

• 1.5 feet

• 0.75 feet

A photograph is 6 inches wide and 4 inches tall. If a similar photograph is 9 inches wide, what is its height?

• 6 inches

• 5 inches

• 7 inches

• 8 inches

A garden is shaped like a rectangle that is 10 meters long and 5 meters wide. If a similar garden is 15 meters long, what is its width?

• 7.5 meters

• 12.5 meters

• 10 meters

• 5 meters

Two similar pentagons have a ratio of their sides of 2:3. If one side of the smaller pentagon is 4 cm, what is the length of the corresponding side in the larger pentagon?

• 5 cm

• 7 cm

• 8 cm

• 6 cm

A square has a side length of 2 meters. If a similar square has a side length of 3 meters, what is the ratio of their areas?

• 4:9

• 3:4

• 2:5

• 1:2

A map is drawn to a scale where 1 inch represents 5 miles. If a similar map shows a distance of 3 inches, how many miles does that represent?

• 20 miles

• 25 miles

• 10 miles

• 15 miles

A small flag is 2 feet tall and 3 feet wide. If a similar flag is 4 feet tall, how wide is the larger flag?

• 6 feet

• 4 feet

• 5 feet

• 8 feet

A blueprint of a house shows a length of 20 feet and a width of 15 feet. If a similar house is built with a length of 30 feet, what will be the width of the new house?

• 20 feet

• 15 feet

• 25 feet

• 22.5 feet