Answer:
C
Step-by-step explanation:
Given
A = [tex]\frac{h(a + b)}{2}[/tex]
Substitute the given values with h = a, then
16.5 = [tex]\frac{a(a+8)}{2}[/tex] ( multiply both sides by 2 )
33 = a(a + 8) ← distribute
33 = a² + 8a ( subtract 33 from both sides )
0 = a² + 8a - 33 ← in standard form
0 = (a + 11)(a - 3) ← in factored form
Equate each factor to zero and solve for a
a + 11 = 0 ⇒ a = - 11
a - 3 = 0 ⇒ a = 3
However, a > 0 thus a = 3
Hence the height is 3 feet
