Answer:
[tex]\large\boxed{S.A.=61.25\ cm^2}[/tex]
Step-by-step explanation:
We have the square and four congruent triangles.
The formula of an area of a square with side a:
[tex]A_{square}=a^2[/tex]
The formula of an area of a triangle:
[tex]A_{triangle}=\dfrac{bh}{2}[/tex]
b - base
h - height
SQUARE:
[tex]A_{square}=(3.5)^2=12.25\ cm^2[/tex]
TRIANGLE:
[tex]A_{triangle}=\dfrac{(3.5)(7)}{2}=\dfrac{24.5}{2}=12.25\ cm^2[/tex]
Surface Area of the square pyramid:
[tex]S.A.=A_{square}+4A_{triangle}[/tex]
Substitute:
[tex]S.A.=12.25+4(12.25)=12.25+49=61.25\ cm^2[/tex]
