Question

A rectangular field is divided into 2 squares of the same size and shape. If it takes 406 yards of fencing to enclose the field

and divide the field into the two parcels, find the dimensions of the field.

Answer 1

Let x be the length of one side of the square field.

Since the field is divided into two squares, the total length of the fencing is 2x + 2x = 4x.

And since the problem states that it takes 406 yards of fencing to enclose the field,

we can set up the equation: 4x = 406.

Solving for x, we get x = 101.5

So the dimensions of the field would be 101.5 yards by 101.5 yards.

Explanation: