Answer:
Jordan needs [tex]3,800\ cm^2[/tex] of carpet to cover the surface area of the post
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The surface area of a prism is equal to
[tex]SA=2B+Ph[/tex]
where
B is the area of the base of the prism
P is the perimeter of the base of the prism
h is the height of the prism
Find the area of the base B
[tex]B=10^2=100\ cm^2[/tex]
Find the perimeter of the base P
[tex]P=4(10)=40\ cm[/tex]
we have the height h
[tex]h=90\ cm[/tex]
substitute the values
[tex]SA=2(100)+40(90)[/tex]
[tex]SA=3,800\ cm^2[/tex]
