A trapezoid has two sides with the length 6 cm, the top width being 6 cm and the bottom width being 10 cm. Find the area of the trapezoid.
To find the area of the trapezoid, we can use the formula:
\[ Area = \frac{1}{2}(a + b)h \]
where a and b are the lengths of the two parallel sides, and h is the height of the trapezoid.
In this case, a = 6 cm, b = 10 cm, and h = 6 cm.
Plugging in the values, we get:
\[ Area = \frac{1}{2}(6 + 10) \times 6 \]
\[ Area = \frac{1}{2} \times 16 \times 6 \]
\[ Area = 8 \times 6 \]
\[ Area = 48 \text{ cm}^2 \]
Therefore, the area of the trapezoid is 48 square centimeters.