Area of the figure is 51.5 ft².
Solution:
The given image is splitted as three shapes.
Triangle, rectangle and triangle.
Base of the top triangle = 3 ft
Height of the top triangle = 2 ft
Area of the triangle = [tex]\frac{1}{2}\ bh[/tex]
[tex]$=\frac{1}{2}\times3\times2[/tex]
= 3 ft²
Area of the top triangle = 3 ft²
Length of the rectangle = (8 + 3) ft = 11 ft
Breadth of the rectangle = 4 ft
Area of the rectangle = length × breadth
= 11 × 4
Area of the rectangle = 44 ft²
Base of the bottom triangle = 3 ft
Height of the bottom triangle = 3 ft
Area of the triangle = [tex]\frac{1}{2}\ bh[/tex]
[tex]$=\frac{1}{2}\times3\times3[/tex]
= 4.5 ft²
Area of the bottom triangle = 4.5 ft²
Area of the figure = 3 ft² + 44 ft² + 4.5 ft²
= 51.5 ft²
Area of the figure is 51.5 ft².
