CC > Chapter 8: Chapter 8 Practice Test > Practice Test 8
The figure is made up of a square and a rectangle. Find the area of the shaded region
6 m
2 m
10 m

This question is incomplete.

Find attached to this answer the required diagram showing the figure of the square and rectangle.

10m²

Step-by-step 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

ian gone lie this got me confused

step-by-step explanation: