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Calculate the total area of the house by summing the areas of the B Room, Bath, Kitchen, Lounge, Pasio, and Stoep.

Mathematics

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Answer

67.5 m2\text{67.5 m}^2

Step-by-step solution

7 steps
  1. Calculate the area of the B Room.

    The B Room has a width of 3 m3 \, \text{m} and a length of 3 m3 \, \text{m}.

    Area(B Room)=3 m×3 m=9 m2\text{Area(B Room)} = 3 \, \text{m} \times 3 \, \text{m} = 9 \, \text{m}^2
  2. Calculate the area of the Bath.

    The Bath has a width of 1.5 m1.5 \, \text{m} and a length of 3 m3 \, \text{m}.

    Area(Bath)=1.5 m×3 m=4.5 m2\text{Area(Bath)} = 1.5 \, \text{m} \times 3 \, \text{m} = 4.5 \, \text{m}^2
  3. Calculate the area of the Kitchen.

    The Kitchen has a width of 3 m3 \, \text{m} and a length of 3 m3 \, \text{m}.

    Area(Kitchen)=3 m×3 m=9 m2\text{Area(Kitchen)} = 3 \, \text{m} \times 3 \, \text{m} = 9 \, \text{m}^2
  4. Calculate the area of the Lounge.

    The Lounge has a width of 3 m3 \, \text{m} and a length of 4.5 m4.5 \, \text{m}.

    Area(Lounge)=3 m×4.5 m=13.5 m2\text{Area(Lounge)} = 3 \, \text{m} \times 4.5 \, \text{m} = 13.5 \, \text{m}^2
  5. Calculate the area of the Pasio.

    The Pasio has a width of 1.5 m1.5 \, \text{m} and a length of 4.5 m4.5 \, \text{m}.

    Area(Pasio)=1.5 m×4.5 m=6.75 m2\text{Area(Pasio)} = 1.5 \, \text{m} \times 4.5 \, \text{m} = 6.75 \, \text{m}^2
  6. Calculate the area of the Stoep.

    The Stoep has a width of 1.5 m1.5 \, \text{m} and a total length of 3 m+4.5 m=7.5 m3 \, \text{m} + 4.5 \, \text{m} = 7.5 \, \text{m}.

    Area(Stoep)=1.5 m×7.5 m=11.25 m2\text{Area(Stoep)} = 1.5 \, \text{m} \times 7.5 \, \text{m} = 11.25 \, \text{m}^2
  7. Calculate the total area of the house.

    Sum all the individual areas:

    Total Area=Area(Main Bed)+Area(B Room)+Area(Bath)+Area(Kitchen)+Area(Lounge)+Area(Pasio)+Area(Stoep)\text{Total Area} = \text{Area(Main Bed)} + \text{Area(B Room)} + \text{Area(Bath)} + \text{Area(Kitchen)} + \text{Area(Lounge)} + \text{Area(Pasio)} + \text{Area(Stoep)} Total Area=13.5 m2+9 m2+4.5 m2+9 m2+13.5 m2+6.75 m2+11.25 m2\text{Total Area} = 13.5 \, \text{m}^2 + 9 \, \text{m}^2 + 4.5 \, \text{m}^2 + 9 \, \text{m}^2 + 13.5 \, \text{m}^2 + 6.75 \, \text{m}^2 + 11.25 \, \text{m}^2 Total Area=67.5 m2\text{Total Area} = 67.5 \, \text{m}^2

    The total area of the house is 67.5 m2\text{67.5 m}^2.

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