A police officer seals off the scene of an accident using a roll of yellow tape that is 228 feet long. What dimensions should be used to seal off the maximum rectangular area around the collision?

Answer 1

P = 2L + 2w

228 = 2L + 2w

114 = L + w

Area = Length * width

Area = (114 - w)w

The extrema occurs at the average of the solutions to the quadratic function

w=57