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Sam has a deck that is shaped like a triangle with a base of 15 feet and I height of 6 feet. He plans to build a 4:5 scaled version of the deck next to his horse’s water trough.

PartA: What are the dimensions of the new deck, in feet? Show every step of your work.

PartB: What is the area of the original deck and the new deck, in square feet? Show every of your work.

PartC: Compare the ratio of the areas to the scale factor. Show every step of your work.