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Topology – It has two sides but only one!

June21

Students may not have seen much about Topology while their heads are deep inside equations and trig functions. However, Mobius strips and Klein bottles are intriguing aspects of the area of Mathematics called Topology (literally, “the study of shapes”). Here is a Mobius Strip: The fun part of Mobius Strips is that students can make […]

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NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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