Question

what is the lateral surface area of the figure?

Explanation:

Step1: Identify lateral faces

The figure is a triangular prism with 3 rectangular lateral faces. Their dimensions are: (4×10), (9×10), (9×10).

Step2: Calculate each face area

Area 1: $4 \times 10 = 40$
Area 2: $9 \times 10 = 90$
Area 3: $9 \times 10 = 90$

Step3: Sum the lateral areas

$\text{Total Lateral Area} = 40 + 90 + 90$

Answer:

220