Question

A plot in the shape of a

Answer 1

Answer:

The maximum distance between posts is 8 m

Step-by-step explanation:

There is a rectangle-shaped plot where we have to place equidistant posts at the maximum possible distance. The dimensions of the plot are 608 m and 264 m.

The maximum distance between posts is given by the maximum possible divisor of 608 and 264. That number is called the greatest common divisor (GCD).

It can be found by factoring both numbers:

$608 = 2^5*19$

$264 = 2^3*33$

The GCD is the product of all common factors with the least exponent. The only common factor is 2 and the least exponent is 3. Thus the GCD is 2*2*2=8.

The maximum distance between posts is 8 m