Subjects algebra

Garden Cost

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

Search Solutions

Garden Cost


1. **State the problem:** We need to find two costs related to the garden: the cost of repairing the garden floor and the cost of constructing a wall around it. 2. **Given data:** Length of garden $L=45$ meters, Width $W=30$ meters, Repair cost rate = 50 Rs/m², Wall construction cost rate = 425 Rs/m. 3. **Calculate area of garden floor:** $$\text{Area} = L \times W = 45 \times 30 = 1350 \text{ m}^2$$ 4. **Calculate cost of repairing the garden floor:** $$\text{Cost}_{repair} = \text{Area} \times \text{rate} = 1350 \times 50 = 67500$$ 5. **Calculate perimeter of the garden (for wall):** $$\text{Perimeter} = 2(L + W) = 2(45 + 30) = 2 \times 75 = 150 \text{ meters}$$ 6. **Calculate cost of constructing the wall:** $$\text{Cost}_{wall} = \text{Perimeter} \times \text{rate} = 150 \times 425 = 63750$$ 7. **Final answers:** - Cost of repairing the garden = 67500 - Cost of constructing the wall = 63750