Perimiter
we have a half circle and 3 sides of a rectangle
half circle
circumfernce=2pir
half of that is 1/2 2pir or pir
so
diameter=8
radius is 1/2 of that or 4
so
that arc is 4pi
the 3 sides are 8+9+9 or 26
if we use pi=3.141592
4pi+26=38.566368
rounded we get
38.57
the closest one is C
answer is C
Add 121/4 to each side:
x²+11x+121/4 < 121/4-8
x²+11x+121/4 < 89/4
(x+11/2)² < √89/2 ⇒ -√89/2 < x+11/2 < √89/2
-11/2-√89/2 < x < -11/2+√89/2