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2010/11 AHSMC Part 1 Problem 2

Problem 2 of 16

A 4×64 \times 6 plot of land is divided into 1×11 \times 1 lots by fences parallel to the edges of the plot, with fences along the edges as well. The total length of fences is:

Answer choices

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Solution

There are 77 fences of length 44 and 55 fences of length 66. The total length is 7×4+5×6=587 \times 4 + 5 \times 6 = 58. The answer is (A).

University of Alberta