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South African Mathematics Olympiad First Round

South Africa math word problems

Problem

A certain pen can draw a line mm wide and km long before it runs out of ink. The largest square you can colour in with this pen has an area, in square metres, of (A) (B) (C) (D) (E)
Solution
Since and , it follows that the area of the line is , and the area of the square will be the same.
Final answer
E

Techniques

Math Word Problems