Trapezoid
Two dimensional shape with four sides and one pair of parallel and congruent sides.
A trapezoid is a quadrilateral with two parallel sides and two non-parallel sides. The parallel sides are called bases and the non-parallel sides are called legs. The distance between the two bases is called the height or altitude of the trapezoid.
To find the area of a trapezoid, you can use the following formula:
Area = (sum of the bases) x (height)/2
For example, if a trapezoid has a base of 10 cm and a base of 20 cm, and a height of 5 cm, you can find the area using this formula:
Area = (10 + 20) x 5 / 2
Area = 30 x 5 / 2
Area = 75 square cm
To find the perimeter of a trapezoid, you can add up the lengths of all four sides. If the two non-parallel sides are equal, you can add the length of one leg to the sum of the lengths of the two bases and another leg.
For example, if a trapezoid has a base of 12 cm, another base of 8 cm, and legs of 5 cm, you can find the perimeter using this formula:
Perimeter = 12 + 8 + 5 + 5
Perimeter = 30 cm
Alternatively, you can use the formula for the perimeter of a quadrilateral:
Perimeter = sum of all four sides
Thus, in the same example, the perimeter of the trapezoid would be:
Perimeter = 12 + 8 + 5 + 5
Perimeter = 30 cm
It is important to note that the midpoint of the two bases is called the midsegment of the trapezoid. The length of the midsegment is the average of the lengths of the two bases. The midsegment also bisects the two legs of the trapezoid.
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