### Enclosing Squares

Can you find sets of sloping lines that enclose a square?

### Parallel Lines

How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?

### Perpendicular Lines

Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?

# Weekly Problem 35 - 2007

##### Stage: 3 and 4 Challenge Level:

What is the area, (in square units) of the triangle formed by the three lines whose equations are: $y-x=6$, $x-2y=3$ and $x+y=6$?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.

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