Question

Find the surface area of each perimeter round your answer to the nearest 10th if necessary do not include unit I need an answer not an explanation please

Answer 1

The total surface area is 468.0 (sq. cm).

Explanation:

We find the surface area by finding the area of each side and the area of the base.

The area of a pentagon can be expressed as
`(1)/(2) \cdot p \cdot a`, where p is the perimeter of the pentagon and a is the apothem. In this case, since the perimeter of the pentagon is 60 and the apothem is 8.3, the area of the pentagon is
`(1)/(2)\cdot60\cdot8.3=249`.

The area of each of the 5 triangular sides is
`(bh)/(2) =(14.6*12)/(2) =43.8`, and their total area is
`43.8\cdot5=219`.

The total surface area is thus
`249+219=468`.