To solve;
we will use the formula;
[tex]A=a^2+2a\sqrt[]{\frac{a^2}{4}+h^2}[/tex]where a is the base and h is the height
From the diagram, a = 4 and h=3
substituting into the formula;
[tex]A=4^2+2(4)\sqrt[]{\frac{4^2}{4}+3^2}[/tex][tex]A=16+8\sqrt[]{4+9}[/tex]A= 16 + 8√13
A= 16 + 28.8444
A=44.844 units²