Sure, let's break down the problem step-by-step to find out how many square inches of tiles Vicki will need for tiling her shower stall.
1. Calculate the Area of the Floor:
- The dimensions of the floor are 35 inches by 35 inches.
- To find the area of the floor, multiply the length by the width:
[tex]\[
\text{Floor Area} = 35 \text{ inches} \times 35 \text{ inches} = 1225 \text{ square inches}
\][/tex]
2. Calculate the Area of Each Wall:
- The height of the shower stall is 8 feet. Since there are 12 inches in a foot, the height in inches is:
[tex]\[
8 \text{ feet} \times 12 \text{ inches/foot} = 96 \text{ inches}
\][/tex]
- There are three walls to be tiled. Two of them are 35 inches wide and the other is 35 inches wide.
- Wall Area 1 (35 inches wide):
[tex]\[
\text{Wall Area 1} = 35 \text{ inches} \times 96 \text{ inches} = 3360 \text{ square inches}
\][/tex]
- Wall Area 2 (another 35 inches wide):
[tex]\[
\text{Wall Area 2} = 35 \text{ inches} \times 96 \text{ inches} = 3360 \text{ square inches}
\][/tex]
- Wall Area 3 (third wall also 35 inches wide):
[tex]\[
\text{Wall Area 3} = 35 \text{ inches} \times 96 \text{ inches} = 3360 \text{ square inches}
\][/tex]
3. Calculate the Total Wall Area:
- To find the total area of the three walls, add the areas of the three walls together:
[tex]\[
\text{Total Wall Area} = 3360 \text{ square inches (Wall 1)} + 3360 \text{ square inches (Wall 2)} + 3360 \text{ square inches (Wall 3)} = 10080 \text{ square inches}
\][/tex]
4. Calculate the Total Area to be Tiled:
- Finally, add the floor area to the total wall area to get the total area that needs to be tiled:
[tex]\[
\text{Total Area to Tile} = \text{Floor Area} + \text{Total Wall Area} = 1225 \text{ square inches} + 10080 \text{ square inches} = 11305 \text{ square inches}
\][/tex]
So, Vicki will need 11,305 square inches of tiles to cover the 3 walls and the floor of her shower stall.
