5) E

The most efficient way to solve this question is by calculating the area for the shrubs, pond, veg areas and lawn. Then, if we subtract this value from the total area, we can get the area for which we have to  use the slabs for.

Length of 2 shrubs areas = 18 – (1+1+0.5+1+3) = 11.5 m
Total area of 2 shrubs area = 11.5 x 4 = 46 m^2

Length of total veg area = 18 – (1+3+1+0.5+0.5+1) =11 m
Width of all veg areas = 3 m
Total area of the 3 veg area = 11 x 3 = 33 m^2

Width of pond area = width of the Veg area as seen from the diagram
Total area of the pond  area = 3 x 3 = 9 m^2

Length of lawn area = 12 – (1+3+1+1) = 6 m
Width of lawn area = 3 m
Total area of the lawn area = 6 x 3 = 18 m^2

Total area of back garden = 18×12 = 18 x (10+2) = 180 + 36 = 216 m^2
Area to be covered by slabs = 216 – (46+33+9+18) = 110 m^2

Area of 1 slab = 0.5 x 0.5 (squares have equal dimensions) = 0.25 m^2
Number of square slabs = 110/0.25 = 440 slabs
Hence the answer is E.

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