brianrtg6292 brianrtg6292
  • 20-03-2018
  • Mathematics
contestada

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

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wolf1728
wolf1728 wolf1728
  • 20-03-2018
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








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