Question

What is the area of the figure below

Answer 1

1213.12 feet squared or 33.69 units squared

Explanation:

Kitchen:

`A_1 = 5^2 = 25 \ $units$^2`

Formal Dining:

`A_2 = 2 * 3 + 1 + 2 * (1)/(2) = 6 + 1 + 1 = 8 \ $units$^2`

Breakfast nook:

`A_3 = (\pi r^2)/(2) = ((3)/(2)^2\pi)/(2) = ((4)/(9)\pi)/(2) = (2)/(9)\pi \ $units$^2`

Total:

`T = A_1 + A_2 + A_3 = 25 + 8 + (2)/(9)\pi = 33 (2\pi)/(9) \ $units$^2 = 36(33 (2\pi)/(9)) \ $ft$^2 = 36 * 33 + 36 * (2\pi)/(9)) \ $ft$^2 = 1188 + 8\pi \ $ft$^2 \approx 1188 + 25.12 \ $ft$^2 = \fbox{1213.12}`