How Do You Find Area Of A Pentagon

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How to Find Area of a Pentagon

What is a Pentagon?

A pentagon is a polygon with five sides. It can be regular or irregular, depending on whether its sides and angles are equal. Regular pentagons have all sides and angles equal.

Calculating Area of a Pentagon

The area of a pentagon can be calculated using the following formula:

Area = (1/4) x √(5(5+2√5)) x s2

where s is the length of one side of the pentagon.

Steps to Calculate Area of a Pentagon

  1. Measure the length of one side of the pentagon.
  2. Substitute the value of s into the formula.
  3. Calculate the area using the formula.

Example

Let’s find the area of a regular pentagon with a side length of 5 cm.

  1. Substitute s = 5 cm into the formula:
    Area = (1/4) x √(5(5+2√5)) x 52
  2. Calculate the area:
    Area ≈ 29.52 cm2

Conclusion

Finding the area of a pentagon is a straightforward process using the formula provided. By following the steps outlined in this guide, you can accurately calculate the area of any pentagon, whether regular or irregular.

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