The area of a rectangular hotel room is 209 square feet. the perimeter is 60 feet. what are the dimensions of the room?

A) x * y = 209

B) 2x + 2y = 60

A) y = 209 / x putting this into equation B

B) 2x + (2 * 209 / x) = 60

2x + 418 / x = 60 multiplying by x

2x^2 + 418 = 60x

2x^2 - 60x + 418 = 0

Solving by quadratic formula

x = 19

y = 11