Question

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

Answer 1

178 sq. ft.

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 =
`$ (1)/(2) (6 * 6) = (1)/(2) (36) = 18 \hspace{2mm} sq. ft. $`

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

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

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