Question: What is the
perimeter of $\triangle CED$?
a. 64.5 units
b. 129 units
c. 193.5 units
d. 258 units
$EG = 37$ at top-left.
$FC = 12$ at top-center/right.
$DB = 15.5$ at bottom-right.
1. **State the problem:** We need to find the perimeter of $\triangle CED$, which is the sum of the lengths of its three sides: $CE$, $ED$, and $DC$.
2. **Identify given lengths:** The problem gives lengths $EG = 37$, $FC = 12$, and $DB = 15.5$. We need to determine how these relate to the sides of $\triangle CED$.
3. **Assumption:** Since the problem does not provide direct lengths for $CE$, $ED$, and $DC$, we assume these segments correspond to the given lengths or can be summed from them.
4. **Calculate perimeter:** If $CE = FC = 12$, $ED = DB = 15.5$, and $DC = EG = 37$, then
$$\text{Perimeter} = CE + ED + DC = 12 + 15.5 + 37 = 64.5$$
5. **Conclusion:** The perimeter of $\triangle CED$ is $64.5$ units.
**Final answer:** a. 64.5 units