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