A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 180 square feet and its length is 8 feet longer than its width. If the uniform width between the rug and room is 8 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?
Choose one: A) 32 B) 36 C) 704 D) 46 E) 104

Rationale: rug ' s area = 180 which is ( x ) x ( 8 + x ) = 180 so x = 10 rug maintains a uniform distance of 8 feet so room has dimension 10 + 16 and 18 + 16 i . e . 26 and 34 area of room 26 x 34 = 884 area covered is 180 so uncovered area is 884 - 180 = 704 ( answer c )
Answer: C