What is the area of a pentagon with apothem of about 10.3

1 answer:

7 0

knowing the pentagon has 5 sides, we can draw 5 equilateral triangles within the pentagon, find the area of one triangle, and multiply that area by5

the length of a side of the pentagon is 2(tan(108)). we multiply 2(tan(108)) with the apothem 10.3 then divide by 2 to get the area of 10.3tan(108). multiply this area by 5 to get the answer of 51.5tan(108) = 127.11, rounded to the nearest hundreth

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