Based on the calculations, the perimeter of the base is approximately equal to: D. 30 units.
How to calculate the perimeter of the base?
First of all, we would determine the base area of the right pentagonal prism as follows:
Base area = volume/height
Base area = 840/14
Base area = 60 square units.
Next, we would determine the base edge of this pentagon by using this formula:
[tex]A = \frac{a^2}{4} \sqrt{5(5 \;+\;2\sqrt{5} )} \\\\60 = \frac{a^2}{4} \times 6.88\\\\6.88a^2 = 240\\\\a^2 = 240/6.88\\\\a=\sqrt{34.88}[/tex]
a = 5.91 units.
For the perimeter of the base, we have:
P = 5a
P = 5 × 5.91
P = 29.55 ≈ 30 units.
Read more on right pentagonal prism here: https://brainly.com/question/12981405
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