### Home > INT1 > Chapter Ch11 > Lesson 11.1.2 > Problem11-17

11-17.

Jillian is trying to construct a square. She has started by constructing two perpendicular lines, as shown at right. If she wants each side of the square to have length $k$, as shown below, describe how she should finish her construction.

How can you use $k$ and the axes to create this square?

Jillian should construct an arc centered at $P$ with a radius $k$ so that it intersects $n\text{ and }m$ each once (call these intersections $R$ and $S$). She should then make two more circles with radius $k$, centered at $R$ and $S$. The fourth vertex lies where these two circles intersect.