Final answer:
To find the area of the hexagon, calculate the area of the rectangle and the two triangles, then add them together.
Step-by-step explanation:
To find the area of the hexagon, we need to first find the area of the rectangle and the two triangles, and then add them together.
The area of the rectangle is found by multiplying its length (13 cm) by its width (5 cm), which gives us 65 cm².
The area of each triangle is found by using the formula 1/2 × base × height. Since the triangles are identical, their base is also 5 cm and their height is 12 cm. Therefore, each triangle has an area of 30 cm².
Finally, we add the areas of the rectangle and the two triangles together: 65 cm² + 30 cm² + 30 cm² = 125 cm².