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?
Choose the correct choice from the following
A) 32  B) 456  C) 40  D) 46  E) 104
Rug's area = 160   which is (x) x (6+x) = 160   so x= 10   rug maintains a uniform distance of 6 feet   so room has dimension 10+12 and 16+12 i.e. 22 and 28   area of room 22x28 = 616   area covered is 160   so uncovered area is 616-160= 
<gadget id="calculator">616-160</gadget>
<output>456</output>
456 (ANSWER 456)
<result>B</result>
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?