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2009/10 AHSMC Part 1 Problem 12

Problem 12 of 16

A parallelogram has two opposite sides 55 centimetres apart and the other two opposite sides 88 centimetres apart. Then the area, in square centimetres, of the parallelogram

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Solution

Let 55 centimetres be the height of the parallelogram. Its base is a segment intercepted by the other pair of parallel lines 88 centimetres apart. Hence its length is at least 88 centimetres and can be arbitrarily large. The answer is (B).

University of Alberta