Question

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

Answer 1

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