Respuesta :

DeanR

They did the hard part for us; usually we're given a radius and have to come up with the base and height of the isosceles triangles ourselves.

Here we have 7 triangles and we're given their base and height so,

[tex]A = 7(\frac 1 2) (27.6)(28.7) = 2772.42[/tex]

choice D

Area of the regular heptagon is 2772 square units.

What is heptagon?

A heptagon is a seven-sided polygon that has seven angles, seven vertices, and seven edges. They may have the same or different dimensions of length. It is a closed figure and a heptagon with all equal seven sides is called a regular heptagon.

Area of the regular heptagon = [tex]\frac{1}{2}[/tex] × n × s × r

Given

Side s = 27.6 units

Radius r = 28.7 units

Number of sides n =7

Area of the regular heptagon = [tex]\frac{1}{2}[/tex] × n × s × r

Area of the regular heptagon =  [tex]\frac{1}{2}[/tex] × 7 × 27.6 × 28.7

= 2772.42 square unit.

Hence, area of the regular heptagon is 2772 square units.

Find out more information about hexagon here

https://brainly.com/question/16072141

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