holthaley28 holthaley28
  • 22-05-2022
  • Mathematics
contestada

what is the area of a heptagon with an apothem of 15.5 and side length of 15

Respuesta :

SenorMathWiz
SenorMathWiz SenorMathWiz
  • 22-05-2022

Answer:

813.75

Step-by-step explanation:

area of a regular polygon = side length × # of sides × apothem × 1/2

here side length = 15 , # of sides = 7 ( a heptagon has 7 sides ) and apothem = 15.5

so area = 15 × 7 × 15.5 × 1/2

==> multiply 15 by 7 by 15.5

area = 1627.5 × 1/2

==> divide 1627.5 by 2

area = 813.75

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