The area of the figure is 55.5 ft².
Solution:
Area of the top triangle = [tex]\frac{1}{2} \times\text{base}\times\text{height}[/tex]
[tex]$=\frac{1}{2} \times{3}\times{2}[/tex]
Area of the top triangle = 3 ft²
Area of the rectangle = length × width
= 8 × 6
Area of the rectangle = 48 ft²
Area of the bottom triangle = [tex]\frac{1}{2} \times\text{base}\times\text{height}[/tex]
[tex]$=\frac{1}{2} \times{3}\times{3}[/tex]
Area of the bottom triangle = 4.5 ft²
Area of the figure = 3 ft² + 48 ft² + 4.5 ft²
= 55.5 ft²
The area of the figure is 55.5 ft².
