![Image](https://s7.postimg.cc/bxsggegon/image.png)
A rectangular room has the rectangular shaped rug shown as above figure such that the rug's area is 120 square feet and its lenght is 2 feet longer than its width. If the uniform width between the rug and room is 2 feet, whta is the area of the region uncovered by the rug (shaded region), in square feet?
A. 32
B. 36
C. 40
D. 46
E. 104
The OA is E.
I know that the area of a rectangle can be determinated by A=L*W and I know that rug's area is 120, then
120=L*W and also I know that the rug has L=2*W, teherefore, its width will be root(60) and its lenght will be L=2*root(60).
Experts, I need your help with this PS question, I don't know how can I determinate the area of the shaded region, I don't know how can I continue with the solving of this question. Thanks!