ANSWER
[tex]52 {cm}^{2} [/tex]
EXPLANATION
The arrow can be divided into a rectangle and a triangle as shown in the attachment.
The rectangular portion has dimension
4cm by 8cm.
The area is
[tex] = 8 \times 4 = 32 {cm}^{2} [/tex]
The area of the triangular portion is:
[tex] = \frac{1}{2} \times b \times h[/tex]
[tex] = \frac{1}{2} \times 8 \times 5[/tex]
[tex] = 20 {cm}^{2} [/tex]
The area of the arrow is
[tex] = 20 + 32 = 52 {cm}^{2} [/tex]
