A regular pentagon has apothem measuring 20cm and a perimeter of 145.3cm. What is the area of the pentagon

1

4

5

3

The pentagon could be seen as a multiple of 5 triangles, they are exactly the same.

Area of a triangle is apothem x the lenght of the pentagon side / 2.

The area of the whole pentagon is apothem x 5 times the lenght of the pentagon side / 2 = apothem x perimeter / 2 = 20 cm x 145,3 cm / 2 = 1,453 cm².

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

asdsaddsa

step-by-step explanation: