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What are two different ways of working out the area of a regular pentagon with a perimeter of 35 inches?
Wiki User
∙ 6y ago
Using trigonometry the regular 5 sided pentagon will consist of 5 congruent isosceles triangles each with 2 equal sides of 5.954555658 inches and 2 equal angles of 54 degrees including an apex angle of 72 degrees opposite to its base side of 7 inches whose apothem or height is 4.817336721 inches
Area: 0.5*5.954555658^2 *sin(72)*5 = 84.30339262 square inches
Area: 0.5*apothem*perimeter = 84.30339262 square inches
Wiki User
∙ 6y ago
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