The ratio of the corresponding sides of two regular pentagons is 9 to 16. The ratio of their perimeters is ___

A. 9:16
B. 3:4
C. 81:256
D. 45:16

A is the answer

Step-by-step explanation:

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Answer

5 and -4

Explanation

If the two triangle are congruent then they have the same area.

20 = x² - x

x² - x - 20 = 0

x² - x + (1/2)² = 20 + (1/2)²

(x - 1/2)² = 20.25

x - 1/2 = √20.25

x - 1/2 = 4.5                             or    x - 1/2 = - 4.5

x = 4 1/2 + 1/2                                      x = -4 1/2 + 1/2

   = 5                                                      = -4

The values of x are 5 and -4.