Understanding Area Calculations in Square Meters
Learn how to calculate area and estimate costs in square meters for different spaces.
Rectangle:
\[ A = l \times w \]
Square:
\[ A = s^2 \]
Circle:
\[ A = \pi r^2 \]
Triangle:
\[ A = \frac{1}{2} \times b \times h \]
Where:
- \(A\) = Area in square meters
- \(l\) = Length in meters
- \(w\) = Width in meters
- \(s\) = Side length in meters
- \(r\) = Radius in meters
- \(b\) = Base in meters
- \(h\) = Height in meters
Calculation Steps
- Measure the dimensions in meters
- Select the appropriate shape formula
- Substitute the measurements into the formula
- Calculate the area in square meters
- If needed, multiply area by cost per m² for total cost
Example Calculation
Problem:
Calculate the area and cost of a rectangular room:
- Length = 6 meters
- Width = 4 meters
- Cost per m² = $25
Solution:
- Calculate area using rectangle formula: \[ A = l \times w \]
- Substitute values: \[ A = 6 \text{ meters} \times 4 \text{ meters} = 24 \text{ square meters} \]
- Calculate total cost: \[ \text{Total Cost} = 24 \text{ m²} \times \$25 = \$600 \]
Visual Reference