Answer:
137 [tex]ft^2[/tex]
Step-by-step explanation:
1. Approach
Break up the given figure into smaller figures. One can break up this figure into a rectangle, and a triangle. After doing so, one can calculate the area of each of the smaller figures, and then add up the values.
2. Calculate the area of the triangle
If one were to cut the top figure off, one would get a triangle with a base of (3ft), and a height of (6ft). One can calculate the area of the figure using the formula;
[tex]\frac{base*height}{2}[/tex]
Substitute;
[tex]\frac{6*3}{2}\\\\= \frac{18}{2}\\\\\ 9[/tex]
3. Calculate the area of the rectangle;
Now, one is left with a rectangle with dimensions (16ft), and (8ft). To find the area of this figure, use the formula;
[tex]base * height[/tex]
Substitute;
[tex]16 * 8\\\\= 128[/tex]
4. Find the area of the whole figure
Now add the area of the triangle, and the area of the rectangle together.
(Rectangle) + (Triangle)
= 128 + 9
= 137
