The area of the composite figure is 325.17 square feet
How to determine the area of the figure?
The figure is a composite figure with the following shapes
- Rectangle
- Triangle
- Semicircle
The dimension of the shapes are:
- Semicircle: Radius = 9 ft
- Rectangle: Length = 9 ft; Width = (26 - 9)ft
- Triangle: Base = 9ft; Height =(26 -9 - 7) ft
The area of each shape is:
Semicircle
A = 0.5πr²
This gives
A = 0.5 * 3.14 *9^2 = 127.17
Triangle
A = 0.5 * base* height
This gives
A = 0.5 * 9 * (26 -9 - 7) = 45
Rectangle
A = Length * Width
This gives
A = 9 * (26 - 9) = 153
The area of the figure is the sum of the areas of the individual shapes.
So, we have:
Total = 127.17 + 45 + 153
Evaluate
Total = 325.17
Hence, the area of the composite figure is 325.17 square feet
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