Examine of a geometric relationships disease of the diagrams below. For each one, write and solve an equation to find the value of the variable. Name all the geometric relationships or conjectures that you use.

Afarmer has a large field that is x feet in length. he wants to fence in a rectangular section in the middle of the field , leaving a length of 100 feet of open field behind each end of the fenced rectangle.he also wants the width of the fenced-in space to be 100 feet less than its length. find the expressions to represent the length and width of the fenced section of the field