Pillars of a fence are to be fixed at equal distances. The boundary of a rectangular field in a Bihar village is 144 m by 180 m, and a pillar must stand at each corner. For the fewest pillars overall, what is the maximum spacing between adjacent pillars (in metres)?

Question

Accepted Answer

36. Pillars at corners means spacing must divide both 144 and 180. Maximum spacing = HCF(144, 180). 144 = 2^4 x 3^2, 180 = 2^2 x 3^2 x 5; HCF = 2^2 x 3^2 = 36 m.

Pillars of a fence are to be fixed at equal distances. The boundary of a rectangular field in a Bihar village is 144 m by 180 m, and a pillar must stand at each corner.
For the fewest pillars overall, what is the maximum spacing between adjacent pillars (in metres)?

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More Class 10 HCF and LCM practice

Pillars of a fence are to be fixed at equal distances. The boundary of a rectangular field in a Bihar village is 144 m by 180 m, and a pillar must stand at each corner.For the fewest pillars overall, what is the maximum spacing between adjacent pillars (in metres)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 HCF and LCM practice

Pillars of a fence are to be fixed at equal distances. The boundary of a rectangular field in a Bihar village is 144 m by 180 m, and a pillar must stand at each corner.
For the fewest pillars overall, what is the maximum spacing between adjacent pillars (in metres)?