mathisntmystrongsuit mathisntmystrongsuit
  • 10-05-2018
  • Mathematics
contestada

Two corresponding sides of two similar pentagons are 12 cm and 28 cm.
What is the ratio of the areas of the pentagon?

A. 27/343
B. 28/12
C. 12/28
D. 9/49

Respuesta :

kanest
kanest kanest
  • 10-05-2018
The area of a pentagon is found through the following formula:

[tex]A = \frac{1}{4} \sqrt{5(5+2 \sqrt{5}) } * s^{2} [/tex]

s is equal to the side length.

Plug 12 and 28 into the formula.

A(12) = 247.75
A(28) = 1348.85

Divide the first result by the second result.

[tex] \frac{247.75}{1348.85} [/tex] ≈ [tex]0.1836[/tex]

9/49 is equal to this decimal.

The answer is 9/49.
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