In Circle O, tangent MN and secant MPQ are drawn to the circle from exterior point M. If MP=6 and PQ=8 then which of the following is the length of MN?

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