Answer:
31
Step-by-step explanation:
ABC has a perimeter of 23, so
AB + BC + AC = 23
The perimeter of ABE would be the sum of these sides:
AB + BC + CD + DE + AE
We also know:
AE = AC, CD=4 and DE=4 because ACD is congruent to AED
So, AB + BC + CD + DE + AE = AB + BC + 4 + 4+ AC = 23+8 = 31