Find the area of the regular pentagon
Side (a); 5 cm
Show work
You should get 43.01 as your answer
There are different formulas to find the area of a regular pentagon, but one common one involves trigonometry:
Area = (5a^2/4) x tan(π/5)
Using the given information:
Area = (5 x 5^2/4) x tan(π/5)
Area = 6.88191 x 1.37638 (using calculator)
Area = 9.467cm^2 (rounded to two decimal places)
Therefore, the area of the regular pentagon is approximately 9.47 square centimeters.