Parallelogram X has a base of 15 cm and a height of 4 cm. Parallelogram Y, which is more slanted, also has a base of 15 cm and a height of 4 cm. How do their areas compare?

The area of X is greater than the area of Y.

The area of X is less than the area of Y.

The areas of X and Y are equal.

The relationship cannot be determined.

Area of Parallelograms Practice — Grade 6 math

Lesson 2: Area of Parallelograms — Practice Questions

1. Parallelogram X has a base of 15 cm and a height of 4 cm. Parallelogram Y, which is more slanted, also has a base of 15 cm and a height of 4 cm. How do their areas compare?
- A. The area of X is greater than the area of Y.
- B. The area of X is less than the area of Y.
- C. The areas of X and Y are equal.
- D. The relationship cannot be determined.
2. Two different parallelograms, P and Q, both have a base of 9 inches and a height of 7 inches. If the area of P is 63 square inches, what is the area of Q in square inches? ___
3. Parallelogram X has a base of 10 ft and a height of 6 ft. Parallelogram Y has the same area as X but a base of 12 ft. What is the height of Parallelogram Y in feet? ___
4. True or False: If two parallelograms have the same base length and the same height, they must have the same area, no matter how different they look.
- A. True
- B. False
5. Two fabric pieces are cut as parallelograms. Piece A has a base of 30 cm and a height of 15 cm. Piece B has the same base and height but is more tilted. The area of Piece B is ___ cm$^2$.
6. A parallelogram has a base of 14 meters and a perpendicular height of 6 meters. What is its area in square meters? ___
7. A parallelogram has a base of 10 inches, a height of 5 inches, and a slanted side of 6 inches. What is its area?
- A. 50 square inches
- B. 60 square inches
- C. 30 square inches
- D. 21 square inches
8. A garden plot shaped like a parallelogram has an area of 96 square feet. If its height is 8 feet, what is the length of its base in feet? ___
9. A rectangular gate is 5 feet high and 10 feet long. It sags into a parallelogram shape that is now only 4 feet high. What is the new area of the gate?
- A. 40 square feet
- B. 50 square feet
- C. 20 square feet
- D. 19 square feet
10. Which formula correctly represents the area of a parallelogram with base $b$ and perpendicular height $h$?
- A. $\operatorname{Area} = bh$
- B. $\operatorname{Area} = 2b + 2h$
- C. $\operatorname{Area} = \frac{1}{2}bh$
- D. $\operatorname{Area} = b + h$