Question

What is the total surface area of the drawing? A. 564 km2 B. 256 km2 C. 265 km2 D. 549 km2 

Answer 1

Correct me if im wrong but I believe it is D. 549 km2

Answer 2

Option D
`549\ km^(2)`

Explanation:

we know that

The surface area of the figure is equal to

`SA=2B+Ph`

where

B is the area of the base

P is the perimeter of the base

h is the height of the figure

so

Find the area of the base B

The area of the base is equal to the area of five isosceles triangle

`B=(5)*((1)/(2)*9*6.2)=139.5\ km^(2)`

Find the perimeter of the base P

`P=9*5=45\ km`

`h=6\ km`

substitute

`SA=2*(139.5)+45*6=549\ km^(2)`