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Area of the trapezoid
a
___________
/ \
/  \
/  h \
/  \

b
If a and b are the lengths of the two parallel bases of a
trapezoid, and h is its height, the area of the trapezoid is
1/2 ?h ?(a + b) .
Example:
What is the area of a trapezoid having bases 12 and 8 and a
height of 5?
Using the formula for the area of a trapezoid, we see that
the area is
1/2 ?5 ?(12 + 8) = 1/2 ?5 ?20 = 1/2 ?100 = 50.
Perimeter of the trapezoid
The perimeter of a trapezoid is the sum of the lengths of all
its sides.
What is the perimeter of a trapezoid having sidelengths 10 cm,
7 cm, 6 cm, and 7 cm? The perimeter is the sum 10 + 7 + 6 + 7
= 30cm.
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