Question

How do you solve the area for the shaded region? Please provide step-by-step answers.

a) Evaluate the area of the entire figure.
b) Find the area of the unshaded region.
c) Subtract the area of the unshaded region from the area of the entire figure.
d) All of the above.

Answer 1

To find the area of the shaded region, first calculate the area of the entire figure, then the unshaded areas, and subtract the latter from the former using length and width measurements.

Step-by-step explanation:

To solve for the area of the shaded region, follow these steps:

1. Evaluate the area of the entire figure by adding the areas of the shaped components (like rectangles and triangles).
2. Find the area of the unshaded region by using the relevant geometric formulas based on the shapes present.
3. Subtract the area of the unshaded region from the area of the entire figure to get the area of the shaded region.

Use length and width measurements to apply formulas such as for rectangles (length × width) and triangles (½× base × height). Compare proportions if needed.