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A big rectangular plot of area 4320 Sq.m is divided into 3 square shaped smaller plots by fencing parallel to the smaller side of the plot. However, some area of land was still left as a square plot could not be formed. So 3 more square shaped plots were formed by fencing parallel to the longer side of the original plot. Such that no area of the plot was left a surplus. What are the dimensions of the original plot?

Correct answer: C. 120m × 36m

  • A. 160m × 27m
  • B. 240m × 18m
  • C. 120m × 36m
  • D. 135m × 32m

Explanation

Let the smaller side be b m. Three squares first use 3b m of the longer side, and the remaining strip is divided into three squares, so its width is b/3 m and the longer side is 3b + b/3 = 10b/3 m. Thus (10b/3)b = 4320 m² gives b = 36 m and the longer side is 120 m, so the dimensions are 120 m × 36 m. The likely mistake is choosing 240 m × 18 m by matching the area but not the square-division condition.

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