Thursday, September 9, 2010

Area P6 2010 SA2 Pei Chun P2 Q14

The figure below shows three square plots of land E, F and G. The total area of the land is 246 square meters. The length of each square is a whole number. The area of E is 1/4 the area of F. (Sorry can't get the figure uploaded. It comprises of 3 adjoining squares, E,F & G. E being the smallest & G being the biggest).











(a) It costs $29 to cover 1 m2 of land with grass. How much does it cost to cover F and G with grass altogether?
(b) It costs $41 to build 1m of wooden fencing. How much does it cost to build wooden fencing along the perimeter of the figure?


L --> 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11

L x L --> 1 ,  4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 , 100 , 121 , ....

25 + 100 + 121 = 246, so L = 5, 10, 11 for E, F and G respectively

100 + 121 = 221

221 x 29 = $6409
a) It was $6409.
5 + 10 + 11 + 11 = 37
37 x 2 = 74
74 x 41 = $3034
b) It was $3034.

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