Answer:
229.5[tex]cm^{2}[/tex]
Step-by-step explanation:
In order to calculate the area of the arrow we need to calculate the area of the body of the arrow, and then the head of the arrow. The body of the arrow is a rectangle meaning that the area (Ar) can be calculated by multiplying the length by the height like so...
Ar = l * h
Ar = 11cm * 12cm
Ar = 132 [tex]cm^{2}[/tex]
Now we need to find the area of the head of the arrow, which is a triangle and therefore we can use the formula for the area of a triangle (At) which is height times base divided by 2...
At = [tex]\frac{h * b}{2}[/tex]
At = [tex]\frac{15cm * 13cm}{2}[/tex]
At = [tex]\frac{195cm^{2} }{2}[/tex]
At = 97.5[tex]cm^{2}[/tex]
Now we simply add both areas together to calculate the total area of the arrow...
132[tex]cm^{2}[/tex] + 97.5[tex]cm^{2}[/tex] = 229.5[tex]cm^{2}[/tex]
