1 Answer

Pandelis · Answer 1 · 2019-03-16T17:14:15+0000

The pentagon's side lengths are all 11 centimeters, making this a regular pentagon.

The perimeter is found by adding all the side lengths together:

$\text{5 sides in a pentagon}$

$11 + 11 + 11 + 11 + 11 = 5(11) = \boxed{55}$

The pentagon's perimeter is 55 centimeters.

The area of a regular pentagon is found with the following formula:

$A = (1)/(4) \sqrt{5 + (5 + √(2))} * s^2$

s represents the side length.

The side length of the pentagon is 11 cm. Plug this value into the formula:

$(1)/(4) \sqrt{5 + (5 + √(2))} * 11^2 = \boxed{208.18}$

The area of the pentagon is 208.18 square centimeters.

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