Math Problem Statement
A family wants to buy glass mosaic tiles to renovate a bathroom wall. The quantity indicated on the package of tiles is 2 m2. What side length of a square could be covered with these tiles?
Solution
To determine the side length of a square that could be covered with 2 m² of tiles, we need to remember that the area of a square is given by the formula:
Where:
- is the area of the square.
- is the side length of the square.
We are given that the area to be covered is 2 m². So, we can set the area equal to 2 m² and solve for :
Now, take the square root of both sides:
Therefore, the side length of the square that could be covered with 2 m² of tiles is approximately 1.414 meters.
Let me know if you'd like further details or have more questions!
Here are some related questions:
- How many tiles would be required to cover a rectangular wall with dimensions 3 m by 4 m?
- If the tiles have a dimension of 10 cm by 10 cm, how many tiles are in one m²?
- How can you calculate the number of tiles needed to cover an irregularly shaped surface?
- How does tile shape (square vs. rectangular) affect the number of tiles needed?
- What is the difference between surface area and perimeter when calculating the materials required for renovation?
Tip: Always measure the actual area to be covered carefully and add a few extra tiles (usually 5-10%) to account for cuts and wastage.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Square Properties
Area Calculation
Formulas
A = s²
s = √A
Theorems
Properties of a Square
Square Root Calculation
Suitable Grade Level
Grades 6-8