9514 1404 393
Answer:
- perimeter: 20 units
- area: 27.5 square units
Explanation:
We must assume the pentagon is regular. Its 5 sides are all the same length as AB, which is 4 units. So, the perimeter is ...
P = 5s = 5(4) = 20 . . . units
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The area is given by the formula ...
A = (1/2)Pa
where P is the perimeter and a is the apothem--the distance from the center to one side.
The center coordinates are (3, 4.75), so the center is 2.75 units from side AB at y=2. Then the area is ...
A = (1/2)(20)(2.75) = 27.5 . . . square units