Step-by-step explanation:
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➷ Angles on a straight line equal 180 degrees:
5k - 3 + 9 + k = 180
Simplify:
6k + 6 = 180
Subtract 6 from both sides:
6k = 174
Divide both sides by 6:
k = 29
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Based on the calculations, the area of this regular polygon (hexagon) is equal to 24 m².
<h3>How to calculate the area of a regular polygon?</h3>
Mathematically, the area of a regular polygon can be calculated by using this formula:
Area = (n × s × a)/2
<u>Where:</u>
- n is the number of sides.
<u>Note:</u> The apothem of a regular polygon is half the length of one side.
Therefore, Length = 2 × 2 = 4 meter.
Substituting the parameters into the formula, we have;
Area = (6 × 4 × 2)/2
Area = 48/2
Area = 24 m².
Read more on polygon here: brainly.com/question/16691874
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Answer:
12 ft
Step-by-step explanation:
