Find the area of the shaded region in the figure below

Question

2 cm
1cm
5cm

Answer 1

To find the area of the shaded region, we need to break it down into simpler shapes (rectangles and triangles) and then calculate their individual areas.

The shaded region is made up of two rectangles and a triangle:

Rectangle 1:
Length = 5 cm
Width = 1 cm
Area = Length * Width = 5 cm * 1 cm = 5 cm²

Rectangle 2:
Length = 2 cm
Width = 1 cm
Area = Length * Width = 2 cm * 1 cm = 2 cm²

Triangle:
Base = 2 cm
Height = 1 cm
Area = 0.5 * Base * Height = 0.5 * 2 cm * 1 cm = 1 cm²

Now, calculate the total area of the shaded region by adding the areas of the two rectangles and the triangle:
Total area = 5 cm² + 2 cm² + 1 cm² = 8 cm²

Therefore, the area of the shaded region in the figure is 8 cm².