Find the area of the composite figure below. 13 8 10

1 answer

To find the area of the composite figure, we need to break it down into smaller, easier to calculate shapes.

The composite figure can be divided into two rectangles and a triangle.

Rectangle 1:
Length = 13
Width = 8
Area = length x width
Area = 13 x 8
Area = 104

Rectangle 2:
Length = 10
Width = 8
Area = length x width
Area = 10 x 8
Area = 80

Triangle:
Base = 3 (since the total base is 8 and 5 is already part of the rectangle, so 8 - 5 = 3)
Height = 10
Area = 0.5 x base x height
Area = 0.5 x 3 x 10
Area = 15

Now, add up the areas of all three shapes:
104 (rectangle 1) + 80 (rectangle 2) + 15 (triangle) = 199

Therefore, the area of the composite figure is 199 square units.