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 $C = \ 530$

Step-by-step 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

       $A =80 * 35 + 38 * 35 + 2( \frac{1}{2} * 38 * 2 )$

=>    $A = 8336 \ ft^2$

From the question

     1 gallon  covers  500 square feet

     x gallon will cover  8336  square feet

So

       $x = \frac{8336}{550}$

=>    $x =15 \ gallons$

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

       $C = c * x$

=>     $C = 15 * 35$

=>     $C = \ 530$