Final answer:
To find the area of the children's section, break it down into smaller shapes and calculate their individual areas.
Step-by-step explanation:
To find the area of the children's section, we can break down the diagram into smaller shapes and calculate their individual areas. In this case, we can see that the shape consists of a rectangle and two triangles.
The area of the rectangle is given by length x width, so we have (5 x 4).
The area of each triangle is given by 0.5 x base x height, so we have 0.5 x 6 x 10 for the first triangle and 0.5 x 6 x 8 for the second triangle.
Adding up these areas, we get (5 x 4) + (0.5 x 6 x 10) + (0.5 x 6 x 8). Therefore, the correct expression to find the area of the children's section is Option D: (5 x 4) + (6 x 4) + (6 x 6).