Answer:
104 m²
Explanation:
From inspection of the diagram, we can see that the composite figure is made up of a triangle and a rectangle.
Triangle
If you turn the figure 90° clockwise, you will see that the base of the triangle = 8m and the height of the triangle = 6m.
Area of a triangle = 1/2 x base x height
⇒ area of the triangle = 1/2 x 8 x 6 = 24 m²
Rectangle
From inspection, the length of the rectangle = 10m and the width = 8m
Area of a rectangle = length x width
⇒ area of the rectangle = 10 x 8 = 80 m²
Composite figure area
Therefore the total area of the figure = area of triangle + area of rectangle
⇒ total area = 24 + 80 = 104 m²