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Note: Please make sure to properly format your answers. All dollar figures in the answers need to include the dollar sign and any amount over 1,000 should include the comma ($2,354.67). All percentage values in the answers need to include a percentage sign (%). For all items without specific rounding instructions, round your answers to two decimal places, show both decimal places (5.06).

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Elizabeth is a landscape designer. She designed a small pond with a fountain that her company plans to manufacture and market. It is a free-form shape, and the company wants to include the area of the pond on the packaging.
a. She takes a model of the pond and places it inside a 25-ft by 25-ft square. What is the area of the square?  (Express your answer in square feet)
b. She then takes a photo of the pond in the square. Then, using a graphing calculator, she generates 5,000 random points inside the square with the pond. She finds that 3,200 of these points land inside the pond outline. What percent of the points landed in the pond?
c. What is the area of the pond, to the nearest square foot?  (Express your answer in square feet)