Question

flag poles are to be erected at at equal spaces along the boundary of a rectangular playground of length 156m and breath 84 such that each corner has a flag.find the minimum no. of flags that will be needed.​

Answer 1

Answer:

Flags are to be erected at equal spaces along a boundary with a length of 156m and a breadth of 84m such that each corner has a flag. What is the minimum number of flags needed?

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Alright, let's factorize the length and width of your rectangle.

156=2x2x13x3

84=2x2x3x7

We’ve got 7 segments of our lowest common denominator to separate on the width, and 13 on the length.

We have two lengths and 2 widths to do,so double the sum of that is 40. Since the flags and our lowest common segments are interspersed one-after-another in a “loop” if you will on the border, the flag number and the segment number match at 40, unless I am entirely not thinking straight.