1. **State the problem:** Calculate the total carpet area of the house using the given floor plan dimensions and then find the total carpet cost at 128.00 per square meter. 2. **Identify the rooms and their dimensions:** - Room 1 (top-left): $3.25\,m \times 2.5\,m$ - Kitchen (top-middle): width $= 10.9 - 3.25 = 7.65\,m$, height $= 2.5\,m$ - Room below kitchen (left side): width $3.55\,m$, height $= 6.89 - 2.5 = 4.39\,m$ - Bathroom (right of kitchen): width $= 10.9 - (3.25 + 3.55 + 2.65) = 1.45\,m$, height $= 2.5\,m$ - Room right of bath: $2.65\,m \times 4.15\,m$ - Bottom-right rooms (two rooms each width $3.65\,m$): height $= 6.89 - 4.15 = 2.74\,m$ 3. **Calculate areas of each room:** - Room 1 area: $$3.25 \times 2.5 = 8.125\,m^2$$ - Kitchen area: $$7.65 \times 2.5 = 19.125\,m^2$$ - Room below kitchen area: $$3.55 \times 4.39 = 15.5945\,m^2$$ - Bathroom area: $$1.45 \times 2.5 = 3.625\,m^2$$ - Room right of bath area: $$2.65 \times 4.15 = 10.9975\,m^2$$ - Bottom-right rooms area (two rooms): $$2 \times (3.65 \times 2.74) = 2 \times 10.001 = 20.002\,m^2$$ 4. **Sum all areas for total carpet area:** $$8.125 + 19.125 + 15.5945 + 3.625 + 10.9975 + 20.002 = 77.469\,m^2$$ 5. **Calculate total carpet cost:** $$77.469 \times 128 = 9912.83$$ **Final answer:** The total carpet area is **77.47 m²** and the total carpet cost is **9912.83**.