What is the area of this figure (4,1)(2,2)(2,-2)(-4,-2)(-2,-5)(2,-5)
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Answer:
A = 374.123 ft^2
Step-by-step explanation:
First, lets calculate the perimeter:
Perimeter (p) = side length (s) * number of sides (n)
Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.
Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )
Now, finally, to find the area of a regular polygon, we use the following equation:
Area (A) = ( apothem (a) * perimeter (p) ) / 2
Turning into a decimal: