Respuesta :

dana2009salman

Answer:

total area = 39.6 square units

Step-by-step explanation:

determine the inside angle

360 / 5 = 72°

half of the triangle = 36°

given:

adj = 3.3

Ф = 36°

length of the opp of a small triangle is = adj. tan Ф

opp = 3.3 * tan 36 = 2.4

area of a triangle = 1/2 b * h   x  2 tringles

area =( 1/2 * 2.4 * 3.3  ) * 2

area = 7.92  multiplied by 5 equal shapes

total area = 7.92 * 5

total area = 39.6 square units

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The total area of the regular polygon should be considered as the 39.6 square units.

Calculation of the total area of the regular polygon:

But before that following things should be calculated

first determine the inside angle i.e.

[tex]= 360 / 5[/tex]

= 72°

Now

half of the triangle = 36°

Since

adj = 3.3

Ф = 36°

So,

opp =[tex]3.3 * tan 36[/tex] = 2.4

Now

area of a triangle =[tex]1/2 b * h * 2[/tex]

[tex]=( 1/2 * 2.4 * 3.3 ) * 2\\\\= 7.92 * 5[/tex]

= 39.6 square units

hence, The total area of the regular polygon should be considered as the 39.6 square units.

Learn more about area here: https://brainly.com/question/24682685

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