Which of the following formulas represents the area of a parallelogram?

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The formula for the area of a parallelogram is given by A = bh, where A represents the area, b is the length of the base, and h is the height of the parallelogram perpendicular to that base. This formula arises from the fundamental concept of area, which is essentially a measure of how much surface a shape occupies.

In a parallelogram, if you take the base as one of the sides and extend it vertically to form a corresponding height, the area can be visualized as the base extended over that height, thus creating a rectangle. The height is crucial because it must be measured at a right angle to the base; this ensures that you're accurately capturing the vertical 'spread' of the shape, which directly influences the area.

The other formulas listed pertain to different geometrical figures. For instance, one represents the area of a triangle (which involves a factor of 1/2), another represents the area of a circle (which incorporates π and the radius), and the last one describes the volume of a pyramid (rather than an area). Each of these formulas serves a distinct purpose for calculating dimensions of specific shapes, reinforcing the unique application of the parallelogram area formula A = bh.

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