Question

Suppose a farmer wants to fence off a rectangular area with three sides of a rectangle, using a river as the fourth side. He has 100 yards of fence to use. Let x denote the length of the side of the rectangle parallel to the river. Find a formula for the function A(x) that gives the area as a function of x. What is the domain of this function based on the formula and what is it based on the context of the problem?

Answer 1

a = Area
x = Side Parallel to the river.


`a = ((x)/(2)) * x`

Which in your context results to:


`x = 100 / 2`

`1250 = ( (50)/(2) ) * 50`

Area = 1250 yards squared