Find Area of shaded region.

Correct option is B

Given:
A figure with points labeled A, B, C, D, E, and F.
Lengths provided: 6 cm, 4 cm, and 10 cm.

Solution:
From the description, it seems the figure consists of rectangles and possibly triangles. Let's assume:
Rectangle ABCD with length 10 cm and width 6 cm.
​$$\text{Area}_{\text{ABCD}} = \text{length} \times \text{width} = 10 \, \text{cm} \times 6 \, \text{cm} = 60 \, \text{cm}^2$$​​
​$$\text{Area}_{\text{ADF}} =\frac{1}{2}\times \text{height } \times \text{base} = \frac{1}{2}\times 4 \, \text{cm} \times 6 \, \text{cm} = 12 \, \text{cm}^2$$​ (Also, $$\text{Area}_{\text{ADF}}=\text{Area}_{\text{BCE}}$$)​
​$$\text{Area}_{\text{shaded}} = \text{Area}_{\text{ABCD}} - 2\text{Area}_{\text{ADF}} = 60 \, \text{cm}^2 - 24 \, \text{cm}^2 = 36 \, \text{cm}^2$$​