Question

Find the area of the

regular figure below:
A) 414.5 ft2
B) 421.3 ft2
C) 425.1 ft2
D) 432.9 ft2
E) 443.4 ft2

pls show work

Answer 1

E. 443.4 ft²

Explanation:

Since it is a regular triangle, it means all three sides are of equal lengths and all angles are of the same degree measure.

Therefore, all sides = 32 ft each

Each equal angle = 60° (sum of all angles = 180)

The area of the triangle can be calculated using the formula, ½*a*b*sin(C),

Where,

a = 32 ft

b = 32 ft

C = 60°

Plug in the values

Area = ½*32*32*Sin(60)

Area = 443.4 ft² (nearest tenth)