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: , 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 () adds the base and the height. Choice B () doubles that sum, which is like a perimeter. Choice D () doubles the correct area, as if the base were multiplied by an extra .
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