Answer: [tex]120in^2[/tex]
Step-by-step explanation:
The formula that is used to calculate the area of a triangle is:
[tex]A_{(triangle)}=\frac{b*h}{2}[/tex]
Where the base of the triangle is b and the height of triangle is h.
If the pennant has a base of 10 inches and a height of 24 inches, you know that:
[tex]b=10in\\h=24in[/tex]
As it is a triangular pennant, you can substitute the values of the base and the value of the height into the formula used to calculate the area of a triangle.
Then, total area of the pennant is:
[tex]A_{(pennant)}=\frac{(10in)(24in)}{2}\\\\A_{(pennant)}=120in^2[/tex]