ACT Math · Area and volume

A parallelogram has a base of 12 and a height of 7. What is its area?

A parallelogram has a base of 12 and a height of 7. What is its area?

Answer and explanation

Answer: C: 84

The area of a parallelogram is its base times its perpendicular height: A=bh=12⋅7=84A=bh=12\cdot7=84, choice C. The height is the perpendicular distance between the bases, not the length of the slanted side. A parallelogram can be cut and rearranged into a rectangle of the same base and height, which is why the formula is the same as for a rectangle. Choice A (1919) adds the base and the height. Choice B (3838) doubles that sum, which is like a perimeter. Choice D (168168) doubles the correct area, as if the base were multiplied by an extra 22.

More Area and volume questions

All Area and volume questions

Learn the method behind questions like this one

The ACT Math course teaches each tested skill through lessons, step-by-step solutions to sample problems, the complete study guide and full-length practice tests.