A bakery is 15 yards wide and 24 yards long. The baker wants to put a wooden shelf around the inside of the bakery. The wooden shelving costs $20.00 per yard. How much will the baker's shelf cost?

1 answer

To determine the cost of the wooden shelf that will go around the inside of the bakery, we first need to find the perimeter of the bakery.

The formula for the perimeter \(P\) of a rectangle is:

\[ P = 2 \times (\text{length} + \text{width}) \]

In this case, the width of the bakery is 15 yards, and the length is 24 yards. Plugging these values into the formula gives:

\[ P = 2 \times (24 , \text{yards} + 15 , \text{yards}) = 2 \times 39 , \text{yards} = 78 , \text{yards} \]

Next, we need to calculate the cost of the wooden shelf. The cost per yard of the wooden shelving is $20.00. Thus, the total cost \(C\) can be calculated as follows:

\[ C = \text{perimeter} \times \text{cost per yard} = 78 , \text{yards} \times 20.00 , \text{$} = 1560.00 , \text{$} \]

Therefore, the total cost of the baker's shelf will be $1560.00.