Question

Aidan has been offered a job to paint the outside of a barn. If one gallon costs $35 and covers 550 square feet. How much will it cost to paint the barn with one coat?

Answer 1

Complete Question

The diagram of the barn is shown on the first uploaded image

Answer:

The cost is
`C = \$ 530`

Explanation:

From the question we are told that

The cost of one gallon of paint is
`c = \$35`

The area the one gallon of paint covers is
`A = 550 \ square\ feet`

Generally from the diagram the region of the barn which can be painted is mathematically represented as

`A =80 * 35 + 38 * 35 + 2( (1)/(2) * 38 * 2 )`

=>
`A = 8336 \ ft^2`

From the question

1 gallon covers 500 square feet

x gallon will cover 8336 square feet

So

`x = (8336)/(550)`

=>
`x =15 \ gallons`

Generally the cost of 15 gallons of paint is mathematically represented as

`C = c * x`

=>
`C = 15 * 35`

=>
`C = \$ 530`