Given:
Height, h = 4 ft
Top base = 8 ft
Bottom base = 2 ft + 8 ft + 2 ft = 12 ft.
Let's find the area of the banner.
Here, the banner has the shape of a traezoid.
To find the area, apply the formula for the area of a trapezoid:
[tex]A=\frac{a+b}{2}\times h[/tex]
Where:
A is the area
a is the top base = 8 ft
b is the bottom base = 12 ft
h is the height = 4 ft
Plug in values in the formula and solve for A:
[tex]\begin{gathered} A=\frac{8+12}{2}\times4 \\ \\ A=\frac{20}{2}\times4 \\ \\ A=10\times4 \\ \\ A=40ft^2 \end{gathered}[/tex]
Therefore, the area of the banner is 40 square feet.
ANSWER:
40 ft²
