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.
29.6
Area of a trapezoid: 0.5*(sum of its parallel sides)*height
Area of a trapezoid: 0.5*(sum of parallel sides)*height
Area of a trapezoid = 0.5*(sum of parallel sides)*height
To find the area of a trapezoid using the area of a corresponding parallelogram, you can draw a line parallel to one of the bases of the trapezoid that extends to form a parallelogram. The area of the parallelogram is calculated using the formula (A = \text{base} \times \text{height}). Since the trapezoid shares the same height and one pair of parallel sides with the parallelogram, you can find the area of the trapezoid by subtracting the area of the triangular sections outside the trapezoid from the area of the parallelogram. This approach effectively utilizes the relationship between the two shapes to derive the trapezoid's area.
what trapezoid
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13.2
Area of a trapezoid: 0.5*(sum of its parallel sides)*height
Area of a trapezoid = 0.5*(sum of parallel side)*height
Area of a trapezoid: 0.5*(sum of parallel sides)*height
Area of a trapezoid = 0.5*(sum of parallel sides)*height
i think 28
Area of a trapezoid: 0.5*(sum of parallel sides)*height
Area of a trapezoid = 0.5*(sum of parallel sides)*height
Area of a trapezoid = 0.5*(sum of parallel sides)*height
The height of the trapezoid is also needed to find its area which is as follows:- Area of a trapezoid = 0.5*(sum of bases or parallel sides)*height