Answer: The correct option is (A). 464 square units.
Step-by-step explanation: We are given a rectangle inside a regular hexagon in the figure.
We know that each side of a regular hexagon has same measure, so the measure of each side is
a = 18 units.
Therefore, the area of the regular hexagon is given by

Since the rectangle has length and breadth of 21 units and 18 units respectively, so the area of the rectangle is

Thus, the area of the shaded region in the figure will be

Hence, option (A) is correct.
The letter C stands for the Circumference of the circle
Answer:
I think its 40 if i did it right Ill show you how i did it
Step-by-step explanation:
First I added 12+12 and the is 24.
The I added 8+8 and that was 16.
Lastly I added 16+24= 40
So just find the measues of the faces
15 times 4=rightmost face
9 times 4=oposite face
9 times 4=lower top face
to find topmost face
15-9=6
4 times 6=topmost face
sides
can be split up into 2 rectangles
15 by 9 and 6 by 6
2 of them
2 times (15 times 9+6 times 6)
bottom=15 times 4
not seen face=6 times 4
total area=(15 times 4)+(9 times 4)+(9 times 4)+(4 times 6)+(2 times ((15 times 9)+(6 times 6)))+(15 times 4)+(6 times 4)
total area=60+36+36+24+(2 times (135+36))+60+24
total area=60+36+36+24+(2 times 171)+60+24
total area=60+36+60+342+60+24
toal area=582
answer is B