You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.

Q: Question: A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 160 square feet and its length is 6 feet longer than its width. If the uniform width between the rug and room is 6 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?

 Option A: 32

 Option B: 456

 Option C: 40

 Option D: 46

 Option E: 104

A: Option B
****
Q: Question: Square A is inscribed in circle B. If the perimeter of A is 32, what is the circumference of B?

 Option A: 6√ 2π

 Option B: 4√ 2π

 Option C: 8√ 2π

 Option D: 7√ 2π

 Option E: 5

A: Option C
****
Q: Question: The sum of three consecutive even numbers is 87. Find the middle number of the three?

 Option A: 31

 Option B: 21

 Option C: 29

 Option D: 22

 Option E: 12

A:
Option C
****