A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 140 square feet and its length is 4 feet longer than its width. If the uniform width between the rug and room is 4 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) 36  C) 40  D) 46  E) 256
Rug's area = 140   which is (x) x (4+x) = 140   so x= 10   rug maintains a uniform distance of 4 feet   so room has dimension 10+8 and 14+8 i.e. 18 and 22   area of room 18x22 = 396   area covered is 140   so uncovered area is 396-140= 
<gadget id="calculator">396-140</gadget>
<output>256</output>
256 (ANSW256R 256)
<result>E</result>
A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 140 square feet and its length is 4 feet longer than its width. If the uniform width between the rug and room is 4 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?