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Area of a trapezoid

# Area of a trapezoid

The area of a trapezoid is the number of unit squares that can fit into it. Area of trapezoid calculator is an online tool that helps to find the area of a trapezoid. If the certain parameters such as the value of base or height is available we can directly give the inputs and calculate the area. Try now Cuemath's Area of a Trapezoid Calculator and calculate the area of a trapezoid within a few seconds. For more practice check out area of trapezoid worksheets and solve the problems with the help of calculator. Consider a trapezoid of bases 'a' and 'b', and height 'h'. We can cut a triangular-shaped portion from the trapezoid and attach it at the bottom so that the entire trapezoid is rearranged as a triangle. Then the triangle obtained has the base (a + b) and height h. By applying the area of a triangle formula, the area of the trapezoid (or triangle) = ½ (a + b) h. For more information, you can refer to How to Derive Area of Trapezoid Formula? section of this page. The area of a trapezoid is found in triangle ABC.

## AREA

via GIPHY

where a and b are the lengths of the parallel sides, h is the height (the perpendicular distance between these sides), and m is the arithmetic mean of the lengths of the two parallel sides. In 499 AD Aryabhata, a great mathematician-astronomer from the classical age of Indian mathematics and Indian astronomy, used this method in the Aryabhatiya (section 2.8). This yields as a special case the well-known formula for the area of a triangle, by considering a triangle as a degenerate trapezoid in which one of the parallel sides has shrunk to a point.We've learned that a trapezoid is formally defined as a four-sided flat shape with one pair of parallel sides. In visual terms, it looks like a triangle or a mountain with a flat platform on top instead of a tip. The formula to find the area of trapezoid is area = ((a + b)/2) * h, where a and b are the bases (the two parallel sides), and h is the altitude or height of the trapezoid. To use this formula, we simply plug in the appropriate measurements where they are needed and evaluate to find the area. How to find the height (altitude) of a trapezoid give the two bases and the area. The main area formula above has four variables (area, two bases and height). If we know any three we can always find the fourth. So for example, if we know the area and two bases we can find the height, simply by re-arranging the main formula: Where a is the area and b1, b2 are the two bases.

How to find a base of a trapezoid give the one of the bases, the height, and the area. The main area formula above has four variables (area, two bases and height). If we know any three we can always find the fourth. So for example, if we know the area and one base and the height, we can find the missing base, simply by re-arranging the main formula: Where a is the area and b is the known base, and h is the height (altitude).The area of a trapezoid is the number of unit squares that can fit into it. Area of trapezoid calculator is an online tool that helps to find the area of a trapezoid. If the certain parameters such as the value of base or height is available we can directly give the inputs and calculate the area. Try now Cuemath's Area of a Trapezoid Calculator and calculate the area of a trapezoid within a few seconds. For more practice check out area of trapezoid worksheets and solve the problems with the help of calculator. (Source: www.cuemath.com)

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