Question

A square pen that is surrounded by a fence is divided into two rectangular regions by adding a new fence that connects the midpoints of two opposite sides. By what percent has the total length of fencing been increased?

Answer 1

25% the total length of fencing been increased.

Explanation:

Consider the provided information.

A square pen that is surrounded by a fence.

Let the length and width of the fence or square pen is x.

Thus, the length of the fence is 4x

If it is divided into two rectangular regions by adding a new fence that connects the midpoints of two opposite sides.

The length of fence that connects the midpoints of two opposite sides is x.

So now the total length of the fence is 4x+x=5x

Now we need to find the percent of length of fencing increased.

`\%increase=(x)/(4x)*100`

`\%increase=(1)/(4)*100`

`\%increase=25`

Hence, 25% the total length of fencing been increased.