To find the area of a trapezoid, you can use the formula:
\[ \text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h \]
where \( b_1 \) and \( b_2 \) are the lengths of the two bases (the top and bottom sides), and \( h \) is the height.
For the trapezoid you provided:
- \( b_1 = 4 \) cm (top)
- \( b_2 = 10 \) cm (bottom)
- \( h = 4 \) cm (height)
Plugging these values into the formula gives us:
\[ \text{Area} = \frac{1}{2} \times (4 + 10) \times 4 \]
\[ = \frac{1}{2} \times 14 \times 4 \]
\[ = 7 \times 4 \]
\[ = 28 \text{ cm}^2 \]
Thus, the area of the trapezoid is \( 28 \) square centimeters.