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MathNet 2009-part-02 — 175 problems (EN–VI) Question 173

Math Olympiad Vault · MathNet 2009-part-02 — 175 problems (EN–VI)

Question 173

The sum of the lengths of the sides of a rectangle is $40$ cm. One side of the rectangle is $4$ times longer than the other.
Question illustration
a) Determine the lengths of the sides of the rectangle.

b) Can the given rectangle be divided into $4$ equal squares by $3$ parallel lines? Draw it!

c) By how many centimetres does the sum of the lengths of the sides of one of the dividing squares differ from the sum of the lengths of the sides of the rectangle?

Question illustration