1. on a blueprint, a rectangular room 14 feet by 12 feet has a semicircular sitting area attached with a diameter of 12 feet. (a) what is the total area of the room and the sitting area? explain your reasoning. (b) what is the perimeter of the room (including the sitting area)? explain your reasoning

Roughly, the perimeter of the room, including the sitting area, would be 65.909 ft squared. The perimeter of the semicircle would be approximately 13.909 ft. Then, add it to the 24 (12 x 2) and 28 (14 x 2), and you get 65.909 ft squared. As for the area, it would 168 (12 x 14) + pi (3.1415...) x 6 squared (radius squared - radius is half of the diameter) divided by two (since it's a semicircle). So then, your answer would be about 224.54 square feet.

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