Answer:
86
Step-by-step explanation:
The midsegment EF is half the sum of the parallel bases, that is
2x - 3 = [tex]\frac{3x-13+23}{2}[/tex] = [tex]\frac{3x+10}{2}[/tex] ( cross- multiply )
2(2x - 3) = 3x + 10
4x - 6 = 3x + 10 ( subtract 3x from both sides )
x - 6 = 10 ( add 6 to both sides )
x = 16
Thus BC = 3x - 13 = 3(16) - 13 = 48 - 13 = 35
Since EF is a midsegment then AE = EB = 5 and CF = FD = 9
perimeter = 5 + 5 + 35 + 9 + 9 + 23 = 86
