A regular heptagon has a side length of 13.9 and an apothem of 14.4. Find the area of the regular heptagon.

Mathematics

1 answer:

aev [14]3 years ago

8 0

Answer: 700.56

Step-by-step explanation:

A heptagon has 7 sides, therfore a regular heptagon will have 7 equal sides

n = 7 (number of sides)

s = 13.9 (length of each sides of the heptagon)

r = 14.4 (The apothem)

The area of the regular heptagon can be calculated by:

Area = ½ n × s × r

Area = ½ × 7 × 13.9 × 14.4

Area = 700.56 square units

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Let
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y = second integer
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Substitute 3rd eq to 1st eq:
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