Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Find the area of the complex figure
23 m
12 m
23 m
31 m
31 m
69 m
Not drawn to scale.
my answer: 2691 meters.
correct me if I'm wrong thanks!
is this you?
area is in m^2, not m
and, given no figure or its description, there's no way to tell whether you are right or not, is there?
To find the area of the complex figure, we need to break it down into smaller, simpler shapes and then calculate their individual areas.
Looking at the given figure, we can see that it consists of two rectangles and one triangle. Let's calculate the area of each shape separately and then add them together to find the total area.
1. Rectangles:
The two rectangles have dimensions 23 m (base) x 12 m (height) and 31 m (base) x 69 m (height). To find their areas, we multiply the length by the width:
Area of the first rectangle = 23 m x 12 m = 276 m^2
Area of the second rectangle = 31 m x 69 m = 2139 m^2
2. Triangle:
The triangle has a base of 31 m and a height of 23 m. The formula for the area of a triangle is (1/2) x base x height, so we can calculate the area as follows:
Area of the triangle = (1/2) x 31 m x 23 m = 356.5 m^2
Now, add up the areas of the rectangles and the triangle to find the total area of the complex figure:
Total area = Area of the first rectangle + Area of the second rectangle + Area of the triangle
Total area = 276 m^2 + 2139 m^2 + 356.5 m^2
Total area = 2771.5 m^2
Therefore, the correct answer is 2771.5 square meters, not 2691 meters as you mentioned.