Discovering Perimeters: Similar Figures in Math

A rectangle has a length of 12 cm and a width of 8 cm. A similar rectangle has a length of 18 cm. What is the width of the similar rectangle?

• 14 cm

• 12 cm

• 10 cm

• 16 cm

Two similar triangles have a ratio of 3:5. If the perimeter of the smaller triangle is 24 cm, what is the perimeter of the larger triangle?

• 30 cm

• 36 cm

• 50 cm

• 40 cm

A square has a perimeter of 40 cm. If a similar square has a side length that is 1.5 times longer, what is the perimeter of the larger square?

• 50 cm

• 60 cm

• 70 cm

• 80 cm

A model of a building is 2 meters tall and is similar to the actual building, which is 10 meters tall. If the model has a base perimeter of 12 meters, what is the perimeter of the actual building's base?

• 50 meters

• 60 meters

• 30 meters

• 40 meters

A triangle has sides measuring 6 cm, 8 cm, and 10 cm. A similar triangle has a perimeter of 48 cm. What are the lengths of the sides of the similar triangle?

• 12 cm, 16 cm, 20 cm

• 6 cm, 9 cm, 12 cm

• 8 cm, 12 cm, 16 cm

• 10 cm, 14 cm, 18 cm

A rectangular garden has a length of 15 m and a width of 10 m. A similar garden is scaled up by a factor of 2. What is the perimeter of the larger garden?

• 80 m

• 100 m

• 40 m

• 60 m

Two similar pentagons have a scale factor of 4:7. If the perimeter of the smaller pentagon is 32 cm, what is the perimeter of the larger pentagon?

• 48 cm

• 40 cm

• 56 cm

• 72 cm

A small park is shaped like a rectangle with a length of 30 m and a width of 20 m. A similar park is built with a length of 45 m. What is the width of the new park?

• 25 m

• 30 m

• 40 m

• 35 m

A triangle has a perimeter of 36 cm. If a similar triangle has a scale factor of 3, what is the perimeter of the larger triangle?

• 108 cm

• 90 cm

• 54 cm

• 72 cm

A rectangular swimming pool is 25 m long and 10 m wide. If a similar pool is built that is twice as long, what will be the perimeter of the new pool?

• 120 m

• 100 m

• 80 m

• 140 m