Sunday, March 28, 2010

Challenging P5 2009 SA1 P2 MGS Q17

17. The following figures are made up of 2-cm squares.


a) What is the perimeter of Figure 3?
b) How many squares are there in Figure 6?
c) Which figure has an area of 220 cm2?


By moving all sides out, we get a big square.
3 x 4 = 12

12 x 2 = 24 cm

a) The perimeter of Figure 3 is 24 cm.


1
1 + 2
1 + 2 + 3
..
1 + 2 + 3 + 4 + 5 + 6 = 21 squares

b) There are 21 squares in Figure 6.


2 x 2 = 4

220 ÷ 4 = 55 squares

21 + 7 = 28
28 + 8 = 36
36 + 9 = 45
45 + 10 = 55 -- > Figure 10

c) Figure 10 has an area of 220 cm2.

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