40.75 m^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]
Since B is the area of the base, we will find the area of the base first. In this case, the base is a triangle.
The formula for the area of a triangle is:
[tex]A=\frac{1}{2}bh[/tex]
[tex]A=.5*5*4.3[/tex]
A = 10.75
Now that we have the value of B, we can plug everything into the equation and solve. The cursive L, which means the lateral height, is 4. The number of base sides is 3, which you can just count. Lastly, the base is 5, which is the side of the base triangle.
[tex]SA=10.75+.5*4*3*5[/tex]
[tex]SA=[/tex]
40.75 m^2
