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VikaD [51]
3 years ago
7

What is the approximate area of the regular pentagon?

Mathematics
2 answers:
Anastasy [175]3 years ago
7 0

Area of the pentagon: 342 cm2

Step-by-step explanation:

The figure of the pentagon is missing: find it in attachment.

The area of the pentagon can be seen as the area of 5 equal triangles, each of them having a base equal to the length of the side of the pentagon,

L = 14.1 cm

and the height of each triangle can be found by using Pythagorean's theorem:

h=\sqrt{12^2-(\frac{L}{2})^2}=\sqrt{12^2-(\frac{14.1}{2})^2}=9.7 cm

The area of each of the 5 triangles is

A'=\frac{1}{2}Lh

Therefore, the area of the pentagon is 5 times this area:

A=5A'=\frac{5}{2}Lh=\frac{5}{2}(14.1)(9.7)=342 cm^2

Learn more about area of regular figures:

brainly.com/question/4599754

brainly.com/question/3456442

brainly.com/question/6564657

#LearnwithBrainly

Zolol [24]3 years ago
7 0

Answer:

342 cm2

Step-by-step explanation:

got 100%

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Step-by-step explanation:


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Check the picture below.

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\bf \begin{array}{ccccccccc}
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%  (c,d)
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\bf \begin{array}{ccccccccc}
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%  (a,b)
&U&(~ a &,& 0~) 
%  (c,d)
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\\\\\\
\begin{cases}
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-----------\\
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