Question 57 - Math Practice Test for the SAT Exam

The power, P, radiated by a hot surface is \(P=\sigma A T^{4}\) where \(\sigma\) is the Stefan-Boltzmann constant, A is the area, and T is the temperature above absolute zero.

If a square puddle of lava produces 100MW (megawatts) of radiation, how many megawatts would be radiated by a puddle with twice the absolute temperature but whose edges were half as long?