Compound Shape
The shape of the figure attached consists on four triangles and one square.
The base of each triangle is B=12 cm and the height is H=10 cm, thus the area is:
[tex]A_t=\frac{BH}{2}[/tex]
Calculating:
[tex]A_t=\frac{12\cdot10}{2}=60[/tex]
The area of each triangle is 60 square cm.
Now for the square of a side length of L=12.
The area of a square of side length a, is:
[tex]A_s=a^2[/tex]
Calculate the area of the square:
[tex]A_s=12^2=144[/tex]
The total surface area is:
A = 60*4 + 144
A= 240 + 144
A = 384 square cm
