Question

to move forward with the renovations, your aunt needs to approve your costs to make sure that you do not go over the $800.00 budget for the shower.

1. cost of the tile needed.

a. calculate the surface area of all of the rectangles that will need to be covered in tile.
b. calculate the number of tiles needed. remember the tiles that are being used are 10 cm x 10 cm. hint: you will need to calculate the surface area for one tile first.
c. calculate the total cost for the tiles. remember that each tile costs $0.40.

Explanation:

Step1: Calculate area of one tile

The tile is a square with side - length $a = 10$ cm. The area of a square is $A_{tile}=a\times a$. So, $A_{tile}=10\times10 = 100$ $cm^{2}$.

Step2: Assume the total area to be tiled is $A_{total}$ (not given in the problem, let's assume it for the general process).

The number of tiles $n=\frac{A_{total}}{A_{tile}}$.

Step3: Calculate the total cost

Since each tile costs $C_{per - tile}=\$0.40$, the total cost $C = n\times C_{per - tile}=\frac{A_{total}}{A_{tile}}\times0.40$.

However, since the total area to be tiled ($A_{total}$) is not given in the problem, we cannot give a numerical answer. If we had the value of $A_{total}$ (in $cm^{2}$), we could substitute it into the above - derived formulas to get the number of tiles and total cost.

Answer:

Since the total area to be tiled is not provided, a numerical answer for the number of tiles and total cost cannot be given. The general formulas for the number of tiles $n=\frac{A_{total}}{100}$ (where $A_{total}$ is the total area to be tiled in $cm^{2}$) and the total cost $C = 0.40\times\frac{A_{total}}{100}$ can be used once $A_{total}$ is known.