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What is the approximate area of the regular pentagon?

288 cm2
342 cm2
432 cm2
691 cm2

What is the approximate area of the regular pentagon? 288 cm2 342 cm2 432 cm2 691 cm-example-1
User Asch
by
6.5k points

2 Answers

2 votes
the answer is B. 342cm^2
User Stijn Leenknegt
by
7.0k points
2 votes

Using the Pythagorean theorem, we can calculate the apothem of the pentagon.

We have then:


image

Then, the area of the pentagon is given by:


image

Where,

L: side of the pentagon

a: apotema

Substituting values:


image

Rounding the nearest whole we have:


image

Answer:

the approximate area of the regular pentagon is:


image

User Steve E
by
7.6k points
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