Question

A farmer has a piece of land measuring 840m by 396m.He divides it into squares plots of equal sizes.Find the maximum area of one plot

Answer 1

Explanation:

To find the maximum area of one plot, we need to find the greatest common factor of 840 and 396. One way to do this is to use the prime factorization method.

First, we prime factorize 840 and 396:

840 = 2 * 2 * 2 * 3 * 5 * 7

396 = 2 * 2 * 3 * 3 * 11

Then, we find the common factors:

2 * 2 * 3 = 12

So, the greatest common factor of 840 and 396 is 12.

The maximum area of one plot is therefore (840 * 396) / 12 = 140 * 33 = 4620 square meters.