Answer:
see explanation
Step-by-step explanation:
(a)
The shaded figure is a trapezium with area (A)
A = 0.5 h(a + b)
where h is the perpendicular height and a, b the parallel sides, thus
A = 0.5 × 10 × (8 + 14) = 5 × 22 = 110 cm²
(b)
The volume (V) of the prism is calculated as
V = area of end face × depth
= 110 × 3 = 330 cm³
Any circle that can given by

have a center of

You can choose
any positive value for the radius

Hence, there are infinity circles.
Least common denominator is 15, so if you write them both with the denominator 4/5 is 12/15 and 1/3 is 5/15.
Answer is 120
Use the Pythagorean theorem to find the distance from the center to the side, 6.5²-(5/2)²=6², so the distance is 6. The perimeter is 5×8=40 then use ½(6)(40)=120