Answer:
178 sq. ft.
Step-by-step explanation:
The total area can be divided into three sub areas viz., T, R₁ and R₂ as shown in the figure.
∴ Total Area = T + R₁ + R₂.
Area of a triangle = 1/2 (b X h) where b is the base and h is the height of the triangle.
Area of a rectangle = l X b where l is the length and b is breadth of the rectangle.
Now area of T = [tex]$ \frac{1}{2} (6 \times 6) = \frac{1}{2} (36) = 18 \hspace{2mm} sq. ft. $[/tex]
Now area of the first rectangle R₁ = [tex]$ 6 \times 8 = 48 \hspace{2mm} sq. ft. $[/tex].
Area of the second rectangle R₂ = [tex]$ 8 \times 14 = 112 \hspace{2mm} sq. ft. $[/tex]
∴ Total Area = 18 + 48 + 112 = 178 sq. ft.
