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a_sh-v [17]
3 years ago
12

A family is planning a wedding celebration in a gazebo. They want to know the area so that they can determine how many people ca

n comfortably fit inside. They take some measurements and find that each side is 8 ft long and the apothem is 9.7 ft. What is the area of the enclosed gazebo?​

Mathematics
1 answer:
Katarina [22]3 years ago
8 0

Answer:

The area of the enclosed gazebo is 310.4\ ft^{2}

Step-by-step explanation:

I assume that is a regular octagon (eight equal aides)

we know that

The area of a regular polygon is equal to

A=\frac{1}{2}(P)(a)

where

P is the perimeter of the polygon

a is the apothem

<em>Find the perimeter P</em> (the octagon has 8 sides)

P=8(8)=64\ ft

a=9.7\ ft

substitute

A=\frac{1}{2}(64)(9.7)

A=310.4\ ft^{2}

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Answer:

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Step-by-step explanation:

Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation 2x + 6y = 12 to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy.

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