Area and Perimeter Word Problems for Grade 6

A rectangle is similar to another rectangle. If the length of the first rectangle is 4 meters and the width is 2 meters, what is the area of the second rectangle if its length is 8 meters?

• 32 square meters

• 40 square meters

• 16 square meters

• 24 square meters

Two similar triangles have a ratio of 2:3. If the area of the smaller triangle is 24 square meters, what is the area of the larger triangle?

• 48 square meters

• 36 square meters

• 54 square meters

• 72 square meters

A park is shaped like a rectangle that is similar to a smaller park. If the smaller park has a perimeter of 40 meters and the larger park has a length that is twice as long, what is the perimeter of the larger park?

• 40 meters

• 100 meters

• 80 meters

• 60 meters

A model of a building is similar to the actual building. If the model has a height of 1 meter and the actual building is 10 meters tall, what is the ratio of their heights?

• 1:1

• 2:10

• 1:10

• 1:5

A square garden has a perimeter of 48 meters. If a similar square garden is built with a perimeter of 72 meters, what is the area of the larger garden?

• 144 square meters

• 324 square meters

• 256 square meters

• 400 square meters

Two similar rectangles have a length ratio of 3:5. If the perimeter of the smaller rectangle is 36 meters, what is the perimeter of the larger rectangle?

• 30 meters

• 72 meters

• 60 meters

• 48 meters

A triangle has a base of 6 cm and a height of 4 cm. If a similar triangle has a height of 10 cm, what is the length of its base?

• 12 cm

• 18 cm

• 8 cm

• 15 cm

A rectangular swimming pool is similar to a smaller pool. If the smaller pool has an area of 50 square meters and the length of the larger pool is 10 meters, what is the width of the larger pool?

• 6 meters

• 8 meters

• 12 meters

• 5 meters

A farmer has a rectangular field that is similar to another field. If the area of the smaller field is 200 square meters and the length of the larger field is 20 meters, what is the width of the larger field?

• 15 meters

• 10 meters

• 25 meters

• 5 meters

Two similar trapezoids have a height ratio of 1:4. If the height of the smaller trapezoid is 3 meters, what is the height of the larger trapezoid?

• 12 meters

• 15 meters

• 6 meters

• 9 meters