Question

Gloria wants to rent a studio apartment. The floor plan is shown. What is the total area of the apartment?

Answer 1

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 = $\frac{1}{2} (6 \times 6) = \frac{1}{2} (36) = 18 \hspace{2mm} sq. ft.$

Now area of the first rectangle R₁ = $6 \times 8 = 48 \hspace{2mm} sq. ft.$.

Area of the second rectangle R₂ = $8 \times 14 = 112 \hspace{2mm} sq. ft.$

∴ Total Area = 18 + 48 + 112 = 178 sq. ft.