Final answer:
To calculate the area of the region between the curve and the x-axis, one must identify the relevant geometric shapes formed under the curve, such as rectangles and triangles, and sum their areas after calculating each.
Step-by-step explanation:
To find the area of the region between a curve and the x-axis, we can use geometric shapes such as rectangles and triangles. The provided information suggests calculating the area of a rectangle and the area of a triangle and summing them to find the total area under the curve.
For a rectangle, the area is calculated by multiplying its base by its height. For a right triangle, the area is found by taking half of the product of its base and height.
Without the specific dimensions of the shapes in question, we can't calculate an exact numerical answer. However, the student will need to identify the shapes formed under the curve between it and the x-axis, determine their respective dimensions, and calculate their areas to find the total area under the curve.