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How is the formula for the area of a parallelogram ABCD derived?

Answer 1

#color(white)(xx)A=ah#
or
#color(white)(xx)A=a*bsinalpha#

Let side lengths of parallelogram be #a#, #b#, height be #h#, and interior angle #alpha#. Then #color(white)(xx)A=ah# or #color(white)(xx)A=a*bsinalpha#

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Answer 2

Sophia Alfred

The formula for the area of a parallelogram ABCD is derived from the fact that the area of a parallelogram is equal to the base multiplied by the height. In the case of a parallelogram, any side can be considered as the base, and the height is the perpendicular distance between the base and its opposite side. So, if we denote one of the sides of the parallelogram as the base, the length of that side becomes the base (b), and the perpendicular distance from that side to the opposite side becomes the height (h). Thus, the area of the parallelogram can be expressed as the product of the base and the height, i.e., Area = base × height.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.