Answer:
Perimeter of trapezoid ABEF= 16x +4
Step-by-step explanation:
Since it is an equilateral triangle
AC = BC = BC = 7x - 2
Point E and F is formed at mid point of line AC and BC respectively.
Therefore AE = 1/2 x AC and BF = 1/2 x BC
Perimeter of trapezoid ABEF = AB + EF + AE + BF
AB = 7x - 2
EF = 2x + 8
AE = (7x - 2)/2
BF = (7x - 2)/2
Perimeter = 7x - 2 + 2x + 8 + (7x - 2)/2 + (7x - 2)/2
= 7x - 2 + 2x + 8 + 7x - 2
= 7x + 2x + 7x - 2 + 8 - 2
Perimeter of trapezoid ABEF= 16x + 4
