A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 200 square feet and its length is 10 feet longer than its width. If the uniform width between the rug and room is 10 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?  Choose the correct answer
A) 32  B) 1360  C) 1000  D) 46  E) 104
Rug's area = 200   which is (x) x (10+x) = 200   so x= 10   rug maintains a uniform distance of 10 feet   so room has dimension 10+20 and 20+20 i.e. 30 and 40   area of room 30x40 = 1200   area covered is 200   so uncovered area is 1200-200= 
<gadget id="calculator">1200-200</gadget>
<output>1_000</output>
1000 (ANSWER 1000)
<result>C</result>
A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 200 square feet and its length is 10 feet longer than its width. If the uniform width between the rug and room is 10 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?