Problema Solution
a farmer has 2,400 ft of fencing and wants to fence off a rectangular field that borders a straight river. he does not need a fence along the river. find a function that models the area of the field in terms of the width ( not along the river).
Answer provided by our tutors
let
x = the width of the rectangular field
y = the length of the field
the farmer has 2,400 ft fencing
since he doesn't need to fence the side by the river and assuming the river goes along one of the widths we have
x + 2y = 2400
y = 1200 - x/2
the area of the rectangle is width*length
A(x) = x * (1200 - x/2)
A(x) = - (x^2)/2 + 1200x is the function of the width that models the area.