Area of a Trapezoid
corresponding angles are equal, corresponding sides are proportionate
The area of a trapezoid can be found by multiplying the sum of the lengths of its parallel sides (called the base and top) by its height, and then dividing the result by 2.
The formula for the area of a trapezoid is:
A = ((b1 + b2) * h) / 2
where A is the area, b1 and b2 are the lengths of the parallel bases, and h is the height of the trapezoid.
To use the formula, we need to know the values of the bases and height of the trapezoid. We can measure them using a ruler or a measuring tape. Alternatively, they may be given in the question.
Example:
Suppose we have a trapezoid with base 1 (b1) of length 5 cm, base 2 (b2) of length 12 cm and height (h) of 8 cm. The area of this trapezoid would be:
A = ((5 + 12) * 8) / 2
A = (17 * 8) / 2
A = 68 square cm
Therefore, the area of the trapezoid is 68 square centimeters.
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