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4 years ago

Could anyone help me with this question please? Thank you.

Mathematics

1 answer:

Greeley [361]4 years ago

6 0

Answer:

C) 549 km²

Step-by-step explanation:

The area of the regular pentagon is given by ...

A = (1/2)Pa

where P represents the perimeter, and 'a' represents the apothem (6.2 km). Of course, the perimeter is 5 times the side length.

The lateral area is the product of the perimeter and the height:

LA = Ph

Using these formulas, and recognizing the total area includes two (2) pentagons, we have ...

total area = (LA) +2(A) = Ph +2(1/2)Pa = P(h +a)

= (45 km)(6 km +6.2 km) = 549 km^2

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