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:

A=s2A = s^2

Where:

  • AA is the area of the square.
  • ss 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 ss:

s2=2s^2 = 2

Now, take the square root of both sides:

s=21.414ms = \sqrt{2} \approx 1.414 \, \text{m}

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:

  1. How many tiles would be required to cover a rectangular wall with dimensions 3 m by 4 m?
  2. If the tiles have a dimension of 10 cm by 10 cm, how many tiles are in one m²?
  3. How can you calculate the number of tiles needed to cover an irregularly shaped surface?
  4. How does tile shape (square vs. rectangular) affect the number of tiles needed?
  5. 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.

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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