Respuesta :

TaeKwonDoIsDead

We can use the length of an apothem formula to calculate:

Length of apothem (a) = [tex]\frac{s}{2Tan(\frac{180}{n})}[/tex]

Where,

  • a is apothem length
  • s is side length
  • n is number of sides of the polygon

Our problem has s = 2.2 and n = 5 (since pentagon). We can plug in the formula and calculate:

[tex]a=\frac{2.2}{2Tan(\frac{180}{5})}\\a=\frac{2.2}{2 Tan(36)}\\[/tex]

[tex]a=\frac{2.2}{1.4531} \\a=1.51[/tex]

Rounding gives us 1.5 cm, answer choice C is correct one.


ANSWER: 1.5 cm

raphealnwobi

The approximate length of the apothem for a pentagon with area of 8.3 cm² and side length of 2.2 cm is 1.5 cm

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The area of the pentagon is given as:

Area = (5/2) * s * a

Where s is the side length, a is the apothem length.

Given that Area = 8.3 cm², s = 2.2 cm, hence:

8.3 = (5/2) * 2.2 * a

a = 1.5 cm

The approximate length of the apothem for a pentagon with area of 8.3 cm² and side length of 2.2 cm is 1.5 cm

Find out more on equation at: https://brainly.com/question/2972832

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