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Calculate the area of the regular pentagon below: A regular pentagon with side length of 11.8 inches and dotted line from center to middle of side of 8.1 inches.


164.025 square inches 238.95 square inches 351.78 square inches 477.9 square inches

Respuesta :

Each side of Pentagon is forming a triangle with third vertices being center of pentagon .

this way we get 5 triangles .

The line drawn from center to the mid point of side of pentagon is perpendicular line , that is height of triangle

ARea of such one triangle =

( 1/2)( side of pentagon )* height of the triangle )

(1/2)( 11.8 )( 8.1) = 47.79 square inch

Area of the pentagon = 5 times area of one such triangle =

5* 47.79 = 238.95

Answer : 238 .95 square inch