Understanding Area Calculations
Learn how to calculate the area of different shapes and estimate costs based on square footage.
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
- \(l\) = Length
- \(w\) = Width
- \(s\) = Side length
- \(r\) = Radius
- \(b\) = Base
- \(h\) = Height
Calculation Steps
- Select the appropriate shape
- Measure and input the required dimensions
- Apply the corresponding formula to calculate the area
- If needed, multiply the area by price per square foot to get total cost
Example Calculation
Problem:
Calculate the area and cost of a rectangular room:
- Length = 20 feet
- Width = 15 feet
- Price = $25 per square foot
Solution:
- Calculate area: \[ A = 20 \text{ ft} \times 15 \text{ ft} = 300 \text{ square feet} \]
- Calculate cost: \[ \text{Total Cost} = 300 \text{ sq ft} \times \$25 = \$7,500 \]
Visual Reference