To calculate the area of the shaded part on the right in the given figure, we can break down the shape into simpler geometric sections. Here’s a detailed approach:

1. Analyze the Shape: The shaded area resembles a combination of a large rectangle with a smaller rectangle removed from it.

2. Identify Dimensions:

   • The large rectangle has a length of 10 meters (horizontal dimension) and a height of 10 meters (vertical dimension), as the height is made up of two segments of 5 meters each.
   • The removed smaller rectangle has a width of 5 meters and a height of 5 meters.

3. Calculate the Area of the Large Rectangle: $\text{Area of large rectangle} = \text{length} \times \text{height} = 10 \, \text{m} \times 10 \, \text{m} = 100 \, \text{m}^2$

4. Calculate the Area of the Smaller Rectangle: $\text{Area of smaller rectangle} = \text{width} \times \text{height} = 5 \, \text{m} \times 5 \, \text{m} = 25 \, \text{m}^2$

5. Determine the Area of the Shaded Region: Since the shaded area is the large rectangle minus the smaller rectangle, we subtract the area of the smaller rectangle from the large rectangle: $\text{Area of shaded region} = 100 \, \text{m}^2 - 25 \, \text{m}^2 = 75 \, \text{m}^2$

Answer:

The area of the shaded part is 75 square meters.

Would you like further clarification, or do you have any specific questions?

Related Questions:

1. How would the area change if the smaller rectangle's dimensions were different?
2. Can we apply this method to any shape with a section removed?
3. How do we calculate the perimeter of the shaded part?
4. What if the shaded area was made up of different geometric shapes?
5. How would we calculate the area if the shape had an irregular boundary?

Tip:

When dealing with composite shapes, breaking them down into simpler shapes like rectangles or triangles simplifies area calculations.