# Thread: an equal length of plastic fencing

1. ## an equal length of plastic fencing

Jamie has two spools with an equal length of plastic fencing that she is going to use to fence a rectangular and a triangular section of grass. The length of the rectangle will be 40 feet greater than the width, and the length of each side of the triangle will be 45 feet longer than the width of the rectangle. What technique(s) could be used to find the lengths of the sides? Justify your response and use your technique(s) to solve the problem.
* draw a model => use a calculator => use paper/pencil.

In this math question, does "an equal length of plastic fencing " mean that one spool will be used to fence a rectangular and the other a triangular? Why does "an equal length" intend?

2. ## Re: an equal length of plastic fencing

The length of the plastic fencing on one spool is the same as the length of the plastic fencing on the other.

It appears to be assumed that the perimeters of the rectangular field and the triangular field are the same, and the same length as the length of fencing on each spool.

3. ## Re: an equal length of plastic fencing

I'm glad I don't have a garden!

4. ## Re: an equal length of plastic fencing

This is the usual sort of question that Keanu burdens us with. His excuse is that they are set by his government, so he has to deal with them, no matter how moronic they may be. And believe me they are moronic.

I have no problem with the English of the question, except that mathematically it makes absolutely no sense at all.

Let w be the width of the rectangle. Then we know that its length must be w + 40. We also know that the sides of the triangle are w + 45, so it must be an equilateral triangle.

We know nothing at all about the lengths of the two spools except that they are equal. If they were sufficiently long there would obviously be infinitely many ways to solve this problem. If not, we obviously have too little information to solve the problem, even if we make the entirely unjustified assumption that the two spools are intended to match the two perimeters exactly.

I for one am exceedingly fed up with these absolutely moronic questions from the South Korean government.

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