Gloria wants to rent a studio apartment. The floor plan is shown. What is the total area of the apartment?A.) 196 ft2B.) 178 ft2C.) 172 ft2 D.) 160 ft2
Accepted Solution
A:
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.