Answer:
(1/2)(4√3ft)(6 ft) = 12√3ft2.
Step-by-step explanation:
For an equilateral triangle, the apothem is 1/3 of the height, so the height is 3 times 2 ft or 6 ft.
The base of the equilateral triangle is the apothem times 2√3 or 2ft times 2√3 = 4√3ft.
So the area of the triangle is (1/2)(base)(height) or
(1/2)(4√3ft)(6 ft) = 12√3ft2.