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3 years ago

Please Answer ASAP! Will give Brainliest to person who is fast and right! Thxx

Mathematics

1 answer:

andrew11 [14]3 years ago

3 0

Answer: AE = 120.83 m DE= 148.66 m

The perimeter of the pentagon is 699.49

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," this must be a concave pentagon.

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: $110^{2}+50^{2}=14600$ $\sqrt{14600}=120.8304597$

DE: $100^{2}+110^{2}=22100$ $\sqrt{22100}=148.6606875$

Add those lengths and the remaining sides of the "rectangle shown below" to calculate the perimeter.

280+150+120.83+148.66= 699.49

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