Question

The campus of a college has plans to construct a rectangular parking lot on land bordered on one side by a highway. there are 680 ft of fencing available to fence the other three sides. let x represent the length of each of the two parallel sides of fencing. a rectangle has width x. x x ​(a) express the length of the remaining side to be fenced in terms of x. ​(b) what are the restrictions on​ x

Answer 1

Let x represent the length of each of the two parallel sides of fencing and y represent the length of remaining third side.

There are 680 ft of fencing available to fence parking, then x+x+y=680, 2x+y=680 and y=680-2x - this is the expression for the length of the remaining side to be fenced in terms of x.

Obviously that x>0 and y>0 (because x and y represent lengths). Then 680-2x>0, -2x>-680,2x<680,x<340.

You have that 0<x<340.