Find the area of a regular pentagon with an apothem of 3.1ft and a side length of 4.5ft. Round your answer to the nearest whole number
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Answer:
≈ 35 ft²
Step-by-step explanation:
The area (A) of a regular pentagon is
A = [tex]\frac{1}{2}[/tex] × perimeter × apothem
perimeter = 5 × 4.5 = 22.5 ft, thus
A = 0.5 × 22.5 × 3.1 = 34.875 ≈ 35 ft²
The area of a regular pentagon with an apothem of 3.1ft and a side length of 4.5ft is 35 ft².
A pentagon is considered to be irregular when all five sides are not equal in length. However, sometimes two or three sides of a pentagon might have equal sides but it is still considered as irregular.
The area (A) of a regular pentagon is
A = perimeter × apothem
perimeter = 5 × 4.5 = 22.5 ft, thus
A = 0.5 × 22.5 × 3.1 = 34.875 ≈ 35 ft²
A regular pentagon has all equal sides and angles. In a regular pentagon, its interior angles are 108 degrees and its exterior angles are 72 degrees.
The angles of a pentagon add up to 540 degrees. In an irregular pentagon, pentagon sides and angles can be different sizes.
To learn more about pentagon, refer
https://brainly.com/question/11512679
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