SOLUTION: 60000s plans to use 1150 feet of fence to enclose the rectangular pasture shown below. One side boarders a river where there is already a thick hedge. It needs no fencing. The p
Algebra ->
Customizable Word Problem Solvers
-> Evaluation
-> SOLUTION: 60000s plans to use 1150 feet of fence to enclose the rectangular pasture shown below. One side boarders a river where there is already a thick hedge. It needs no fencing. The p
Log On
Question 8874: 60000s plans to use 1150 feet of fence to enclose the rectangular pasture shown below. One side boarders a river where there is already a thick hedge. It needs no fencing. The pasture is in the shape of a rectangle only the widths are marked.
a. Let x be the width of the pasture as labeled. Write an expression for the length in terms of x.
b. Write an expression for the area of the pasture in terms of x.
c. Suppose the pasture must enclose at least 60,000 square feet. Write a sentence relating the area expression in part b to the area the pasture must enclose.
Notice that there are two widths to this rectanglar fence, and only one length, since the other side doesn't need any fence. To find the length, you'll need to start with the total amount of fence, which is 1150, and subtract the TWO widths, which would be 2x, which leaves you the
length = 1150 - 2x.
b)AREA = WIDTH * LENGTH
A = x(1150 - 2x)
