Lynn Byrd, Greg Byrd and, Chris Pearce Solutions for Chapter: Graphs, Exercise 4: Exercise 11.3

Draw four lines that enclose a rectangle with an area of $18$ units. Write down the equations of four lines 

Here are the coordinates of some points: $A(10, 10), B(-10, 15), C(10, -15), D(-15, 15), E(-10, -10)$ and $F(15, -15)$. Find $y=10$ lies on which point

Here are the coordinates of some points: $A(10, 10), B(-10, 15), C(10, -15), D(-15, 15), E(-10, -10)$ and $F(15, -15)$. Find $x=-10$ on which point.

Here are the coordinates of some points: $A(10, 10), B(-10, 15), C(10, -15), D(-15, 15), E(-10, -10)$ and $F(15, -15)$. Find $x=15$ on which point.

Here are the coordinates of some points: $A(10, 10), B(-10, 15), C(10, -15), D(-15, 15), E(-10, -10)$ and $F(15, -15)$. Find $y=-15$ on which point.

Two lines parallel to the $x-$axis and two lines parallel to the $y-$axis make a square. The centre of the square is at origin $\left(0, 0\right)$. Each side of the square is $8$ units.

Find the equation of each of the four lines.

Two lines parallel to the $x-$axis and two lines parallel to the $y-$axis make a square. The centre of the square is at origin $\left(0, 0\right)$. Each side of the square is $8$ units.

A second square is the same size but its centre is in a different place. How would you find the equations of the four lines of this square?

Suppose you know the centre of a square and the length of each side . How would you find the equations of four lines?