Maria wants to buy a new rug for her living room. She finds a rectangular rug that is 8 feet long and 5 feet wide. However, the store is having a 20% discount on all rugs. If the original price of the rug is $200, what is the discounted price of the rug, and what is the area of the rug in square feet? Let's think step by step and output the final answer within \boxed{}.
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