Calculate the area of the shaded region in the figure shown.

the image is on: tiny pic . com/r/152zyxi/8]
just remove the spaces

a) 144-54 SQRT(3) square meters
b) 144 - 18SQRT(3) square meters
c) 144 - 6SQRT(3) square meters
d 54 SQRT(3) square meters

1 answer

The large square has area 12^2 = 144
The triangle is a 30-60-90 triangle, with legs 6 and 6√3, so its area is 18√3

So, 144-18√3 = (b)