Question

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

Step2: Assume the total area to be tiled is $A_{total}$ (not given in the problem, but in general)

Let's say we find $A_{total}$ (by adding up the areas of all rectangles to be tiled).

Step3: Calculate the number of tiles $n$

The number of tiles $n=\frac{A_{total}}{A_{tile}}=\frac{A_{total}}{100}$.

Step4: Calculate the total cost $C$

Since each tile costs $\$0.40$, the total cost $C = 0.40\times n=0.40\times\frac{A_{total}}{100}=0.004A_{total}$.

However, since the total area of the rectangles to be tiled ($A_{total}$) is not given in the problem, we can only provide the general formulas. If we had the value of $A_{total}$ (in $cm^{2}$), we could calculate the exact number of tiles and total cost.

Answer:

The area of one tile is $100$ $cm^{2}$. The number of tiles $n=\frac{A_{total}}{100}$ (where $A_{total}$ is the total area of rectangles to be tiled in $cm^{2}$), and the total cost $C = 0.004A_{total}$ (in dollars).