Subjects algebra

Carpet Lawn Cost

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We need to calculate the cost of buying carpet for each room and the cost of creating a fenced lawn area, then find the total cost. 2. **Identify given prices:** - Carpet Living Room/Hall: 5.00 per m² - Carpet Bedroom: 6.00 per m² - Carpet Bathroom/Kitchen: 8.00 per m² - Grass seed for lawn: 1.50 per m² - Fencing for lawn: 3.00 per metre 3. **Calculate area and perimeter:** - Assume the areas and perimeters of rooms and lawn are given or measured from plans (not provided here). 4. **Formula for cost:** - Carpet cost = Area of room × Carpet price per m² - Lawn grass cost = Lawn area × Grass seed price per m² - Lawn fencing cost = Lawn perimeter × Fencing price per metre 5. **Example calculation:** - Suppose Living Room area = $20$ m², Bedroom = $15$ m², Bathroom/Kitchen = $10$ m² - Lawn area = $30$ m², Lawn perimeter = $22$ m 6. **Calculate each cost:** - Living Room carpet cost = $20 \times 5 = 100$ - Bedroom carpet cost = $15 \times 6 = 90$ - Bathroom/Kitchen carpet cost = $10 \times 8 = 80$ - Lawn grass cost = $30 \times 1.5 = 45$ - Lawn fencing cost = $22 \times 3 = 66$ 7. **Total cost:** $$100 + 90 + 80 + 45 + 66 = 381$$ 8. **Conclusion:** The total cost for carpets and lawn creation is 381. This method can be applied with actual measurements from the plans.