Question

A landscape design company is building a large gazebo for a backyard. It is in the shape of the
regular polygon shown below, where the measurements are in feet. They need to purchase wood
for the floor. It costs $10 per square foot for the special wood the homeowner wants. Find the cost
of the gazebo's flooring. Recall A = ap for the area of a regular polygon:

Answer 1

The area of the heptagon will be 533.61 square feet. Then the cost of the gazebo's flooring will be $ 5336.1.

What is a polygon?

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

A landscape design company is building a large gazebo for a backyard. It is in the shape of the regular polygon shown below, where the measurements are in feet.

A heptagon is given with an apothem of 12.6 ft and a side length of 12.1 ft.

Then the area of the heptagon is given as

Area of heptagon = 7 x area of a triangle

Area of heptagon = 7 x 0.5 x 12.1 x 12.6

Area of heptagon = 533.61 square ft

If the costs $10 per square foot for the special wood the homeowner wants.

Then we have

Total cost = 10 x 533.61

Total cost = $ 5336.1

More about the polygon link is given below.

https://brainly.com/question/17756657

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