Answer:
Step-by-step explanation:
Required

Construct a rectangle whose perimeter is 42 units and satisfies the given conditions.
First, name the rectangle ABCD.
Such that:




For the rectangle to be either horizontal or vertical, then:
and 
We have that:

Replace perimeter with its formula

Divide both sides by 2

This implies that, the distance between adjacent sides (through the edges) must be equal to 21
Having said that: a set of coordinates that satisfy the given conditions are:
-- First quadrant
-- Second quadrant
-- Third quadrant
-- Fourth quadrant
The above quadrants satisfy the condition:
and 
<u>HOW TO KNOW THE PERIMETER IS 42</u>
To do this, we simply calculate the distance between the edges and add them up
<u>Distance is calculated as:</u>
<u></u>
<u></u>
<u></u>
<u>For AB</u>

<u>For BC</u>

<u>For CD</u>

<u>For DA</u>

So, the perimeter is:



See attachment for rectangle