Create a Rectangle with Given Area Whose Vertices Have No Repeated Coordinates

[size=150]Creation of this resource was inspired by this [url=https://www.openmiddle.com/area-of-a-quadrilateral-on-a-coordinate-plane/]Open Middle problem[/url] submitted by [url=https://twitter.com/danluevanos]Daniel Luevanos[/url]. [br][br]This problem is a modification (spin-off) of Daniel's original problem.[br]You can generate new problems by selecting the [b]New Problem [/b]button. [br][br][b][color=#0000ff]How many different ways can you position the quadrilateral shown so that all criteria are satisfied? [br][br]Which criteria are most challenging for you to meet? [/color][/b][/size]

Information: Create a Rectangle with Given Area Whose Vertices Have No Repeated Coordinates