Answer:
AE = 120.83 m DE= 148.66 m
The perimeter of the pentagon is 699.49 meters
Sketch attached.
Step-by-step explanation: First we have to imagine the shape of the pentagon. In order to satisfy the requirement "that E is 50 m from the side AB and 30 m from the side BC," <u><em>this must be a concave pentagon.</em></u>
To determine the lengths of sides AE and DE, subtract the given distances of E from the lines, and use those values in the Pythagorean Theorem.
AE: c² = 110² + 50² c=√14600 AE = 120.830 m
DE: c² = 100² + 110² c = √22100 DE = 148.661 m
Add those lengths and the remaining sides of the 140m × 150m rectangle to calculate the perimeter.
280+150+120.83+148.66= 699.49
