Question

The diagram shows one side of a storage Barn. A)This side needs to be painted find the total area to be paintedB) Each gallon of paint cost $20 and covers 350 ft.². Find the total cost to paint the side once. Justify your answer.

Answer 1

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:

$A=\frac{b\times h}{2}$

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:

$A=\frac{22.8\times12}{2}=138.8$

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