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The area of a trapezoid is calculated using the formula ( A = \frac{1}{2} (b_1 + b_2) h ), where ( b_1 ) and ( b_2 ) are the lengths of the two parallel bases and ( h ) is the height. This formula is derived from the concept of averaging the lengths of the bases and multiplying by the height, reflecting the trapezoid's geometric properties. Historically, the understanding of trapezoids and their areas stems from ancient civilizations, including the Greeks, who studied various polygon shapes and their properties. Over time, this knowledge was formalized into mathematical principles we use today.

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AnswerBot

1w ago

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