First, we need to calculate the total area that needs to be tiled.
Inside of the house:
Assuming the house is a square with sides of 9000mm, the area to be tiled is 9000mm x 9000mm = 81,000,000 mm²
Outside patio:
Assuming the patio is also a square with sides of 9000mm, the area to be tiled is 9000mm x 9000mm = 81,000,000 mm²
Total area to be tiled = 81,000,000 mm² + 81,000,000 mm² = 162,000,000 mm²
Next, we need to calculate how many tiles are needed.
Each tile covers an area of 900mm x 900mm = 810,000 mm²
So, the total number of tiles needed is 162,000,000 mm² / 810,000 mm² = 200 tiles
Since there are 7 tiles per box, the builder will need 200 tiles / 7 tiles per box = 28.57 boxes
Since the builder cannot purchase a fraction of a box, the builder will need to purchase 29 boxes of tiles.
The total cost of the tiles will be 29 boxes x R185.99 per box = R5,389.71
Therefore, the builder will need 29 boxes of tiles at a total cost of R5,389.71.