This question is incomplete.
Find attached to this answer the required diagram showing the figure of the square and rectangle.
Answer:
10m²
Explanation:
From the attached diagram, we have a shaded triangle that can be found both inside a large square and a small rectangle.
a) We are starting from the small rectangle
The length of the small rectangle = 2m
If we look at the diagram , we would see a square attached to the small rectangle with a side length of 6cm, all the side of a square is equal, which means, all the sides of the square = 6m
The length of the entire shape(large square + rectangle) = 10m
Hence, the base of the small rectangle
= 10m - 6m = 4m
The next step is to find the area of the shaded region(triangle) in the small rectangle
Area of a triangle = 1/2 × base × height
Height of the shaded triangle in the diagram = length the rectangle = 2m
Base of the shaded triangle = Breadth of the rectangle = 4m
= 1/2 × 2m × 4m
= 4m²
b) For the large square, it has a side length of 6m
To find the Area of the shaded region(triangle) , the formula = 1/2 base × height
Looking at the diagram
Base of the triangle = length of the side of the small rectangle = 2m
Height of the triangle = 6m
= 1/2 × 2m× 6m
= 6m²
The Total Area of the shaded region(Triangle) = 6m² + 4m²
= 10m²