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Question Number 9707 by Fahad last updated on 27/Dec/16
How many paving stones each measuring  2.5m×2m are required to pave a rectangular  courtyard 30m long and 16.5 m wide?
$$\mathrm{How}\:\mathrm{many}\:\mathrm{paving}\:\mathrm{stones}\:\mathrm{each}\:\mathrm{measuring} \\ $$$$\mathrm{2}.\mathrm{5m}×\mathrm{2m}\:\mathrm{are}\:\mathrm{required}\:\mathrm{to}\:\mathrm{pave}\:\mathrm{a}\:\mathrm{rectangular} \\ $$$$\mathrm{courtyard}\:\mathrm{30m}\:\mathrm{long}\:\mathrm{and}\:\mathrm{16}.\mathrm{5}\:\mathrm{m}\:\mathrm{wide}? \\ $$
Commented by ridwan balatif last updated on 27/Dec/16
area of courtyard=30×16.5=495 m^2   area of stone=2.5×2=5 m  n=((area of courtyard)/(area of stone))  n=((495)/5)  n=99 stones
$$\mathrm{area}\:\mathrm{of}\:\mathrm{courtyard}=\mathrm{30}×\mathrm{16}.\mathrm{5}=\mathrm{495}\:\mathrm{m}^{\mathrm{2}} \\ $$$$\mathrm{area}\:\mathrm{of}\:\mathrm{stone}=\mathrm{2}.\mathrm{5}×\mathrm{2}=\mathrm{5}\:\mathrm{m} \\ $$$$\mathrm{n}=\frac{\mathrm{area}\:\mathrm{of}\:\mathrm{courtyard}}{\mathrm{area}\:\mathrm{of}\:\mathrm{stone}} \\ $$$$\mathrm{n}=\frac{\mathrm{495}}{\mathrm{5}} \\ $$$$\mathrm{n}=\mathrm{99}\:\mathrm{stones} \\ $$
Answered by sandy_suhendra last updated on 28/Dec/16
((30)/2)×((16.5)/(2.5))≈15×7=105
$$\frac{\mathrm{30}}{\mathrm{2}}×\frac{\mathrm{16}.\mathrm{5}}{\mathrm{2}.\mathrm{5}}\approx\mathrm{15}×\mathrm{7}=\mathrm{105} \\ $$

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