10.2 ft^2
Step-by-step explanation:
The formula for the surface area of a pyramid is:
[tex]SA=B+\frac{1}{2}l(numberofbasesides)(b)[/tex]
B will be the area of the base, which is the triangle. After we figure out the value of B we can plug everything we know into the equation.
The formula for the area of a triangle is:
[tex]A=\frac{1}{2}bh[/tex]
[tex]A=.5*2*1.7[/tex]
A = 1.7
Now that we have the value of B, we can plug it into the formula along with the other things from the picture we know.
[tex]SA=1.7+.5*2*3*2[/tex]
[tex]SA=[/tex]
10.2 ft^2
