mr. brewster wants to put a deck along two consecutive sides of his rectangular koi pond. the pond is 20 feet by 15 feet. the deck width will be the same on both sides and the total area of the pond and deck cannot exceed 500 square feet. what widths are possible for the deck?

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step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus

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