Carlos : 23.5
Mariana : 20.5
Verónica : 17.5
Luis : 14.5
I THINK !!!
I DONT KNOW IF IM RIGHT!!!!!
Looking through my old calc notes, I am reading that f(x) needs to be continuous on [a,b] and f ' (x) also needs to be continuous on [a,b]. Both conditions are needed. If you had to pick just one, then I'd say f(x) being continuous is much more important. Though I'm not 100% sure on this one. My thinking is that if there was any discontinuities on f(x), then the arc length would be distorted and overblown. The arc length should not account for any piece that isn't on the curve.
Answer = 5.5 x 5.5 = 30.25
Answer:

Step-by-step explanation:
First off, your drawing is kinda inaccurate, because the
looks like a right angle, but as you drew it yourself it doesn't matter too much.
We know that the sum of the angles of a triangle will always equal
, so we have that
.
Combining like terms on the left side gives
.
Subtracting
from both sides gives
.
So,
and we're done!