Question P6 Repeated identity
Today’s problem — free all day, every step. Every day has one.
In a park, ABDF and BCEF are two rectangular flower beds, and CDE is a straight edging path. AB = 9 m, AF = 12 m and BF = 15 m. Find the length of BC.
Answer
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One length or count, described two ways in the same question.
In this one. Triangle BDF has one fixed area but two usable bases — measure it from AB, then re-read it from BF, and the unknown BC turns from a side into a height.
A shape or count is described from two viewpoints in the same question, such as one edge measured as a number of long pieces and again as a number of short pieces.
Children treat the two descriptions as separate quantities and add them. Both describe the same quantity, so the two must be equal.
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