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

a.) 196 ft2
b.) 178 ft2
c.) 172 ft2
d.) 160 ft2

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 =

Now area of the first rectangle R₁ = .

Area of the second rectangle R₂ =

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