A trapezoid is quadrilateral with one pair of parallel sides.
The formula for the area of a trapezoid is
Area = [tex]\frac{1}{2}[/tex] (base 1 + base 2) h
The bases of the trapezoid are the parallel sides. In the trapezoid shown, the bases are 5m and 9m and the height of the trapezoid is 3m. Now, we can plug these numbers into the formula.
[tex]\frac{1}{2}[/tex] (5m + 9m) (3m)
Next, order of operations tells us that we must simplify inside the parentheses first. 5m + 9m = 14m
Now we have
[tex]\frac{1}{2}[/tex] (14m) (3m)
[tex]\frac{1}{2}[/tex] × 14m = 7m
7m × 3m = 21[tex]m^{2}[/tex]
Therefore, the area of the trapezoid is 21[tex]m^{2}[/tex]
