find the area of an equilateral triangle with an apothem having a length of 4 feet. round to the nearest tenth

Answer 1

let the half-base be x
tan60 = 4/x
x = 4/tan60 = 4/√3

area = (1/2)(2x)(4) = 4x = 16/√3 or appr 9.2 ft^2