Answer:
58.5 ft²
Step-by-step explanation:
The figure is made up of a square, triangle and rectangle. Thus, the area of the figure is the sum of the areas of the square, triangle and rectangle.
Let's find the area of each!
Square
Area of square= side ×side
Area
= 3(3)
= 9 ft²
Triangle
Area of triangle= ½ ×base ×height
Base= 11 ft
Height= 3 ft
Area
= ½(11)(3)
= 16.5 ft²
Rectangle
Area of rectangle= length ×breadth
Area
= 3(11)
= 33 ft²
Area of figure
= 9 +16.5 +33
= [tex]\textcolor{red}{58.5 \: {\text{ft}} {}^{2} }[/tex]
