To find the area of a trapezoid, we can use the formula:
\[ \text{Area} = \frac{(b_1 + b_2)}{2} \times h \]
where \( b_1 \) and \( b_2 \) are the lengths of the parallel sides, and \( h \) is the height.
In this case:
- \( b_1 = 24 \) cm (the top side)
- \( b_2 = 20 \) cm (the bottom side)
- \( h = 10 \) cm (the height, as given by the length of the perpendicular lines)
Now, plug these values into the formula:
\[ \text{Area} = \frac{(24 + 20)}{2} \times 10 \] \[ = \frac{44}{2} \times 10 \] \[ = 22 \times 10 \] \[ = 220 , \text{cm}^2 \]
Therefore, the area of the trapezoid is 220 cm².
So the correct response is:
220 cm²