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?
Answers:
A) 32
B) 36
C) 704
D) 46
E) 104
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 26x34 = 884 area covered is 180   so uncovered area is 884-180= 
<gadget id="calculator">884-180</gadget>
<output>704</output>
704 (ANSWER 704)
<result>C</result>
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?