The area of this side can be calculated by adding the area of the rectangular part to the area of the triangular part. The area of a triangle is given by the following formula:
[tex]A=\frac{b\times h}{2}[/tex]Where b is the length of the base and h is the height. In this case, we can determine the height of the triangle by subtracting the heigh of the rectangular part to the height of the whole side, like this:
h = 26.5 - 14.5 = 12
And the base of the triangle equals 22.8, then by replacing these values into the above formula, we get:
[tex]A=\frac{22.8\times12}{2}=138.8[/tex]Then, the area of the triangle is 138.8, we have to add this area to the area of the rectangular part, which can be calculated like this:
A = 14.5×22.8 = 330.6
Then, the total area is:
A = 330.6 + 138.8 = 469.4
The total area to be painted is 469.4 ft²