Yuma used 1,040 ft of fence to enclose a rectangular pasture. One side borders a river where there is already a thick hedge. That side needs no fencing.
c. Write an expression for the area of the pasture in terms of x only.
d. Suppose Yuma wants the pasture to enclose at least 60,000 square feet. Write a sentence relating your answer in Part c to the area the fence must enclose.

Question

Yuma used 1,040 ft of fence to enclose a rectangular pasture. One side borders a river where there is already a thick hedge. That side needs no fencing. 
c. Write an expression for the area of the pasture in terms of x only. 
d. Suppose Yuma wants the pasture to enclose at least 60,000 square feet. Write a sentence relating your answer in Part c to the area the fence must enclose.

anonymous · Answer

I need help with part c!

zepdrix · Answer

So for part a) did you get,$$\Large 2x+L=1040 \qquad\to\qquad L=1040-2x$$And for b) I guess we would get,$$\Large A=xL$$Right?

anonymous · Answer

Exactly, but I can't figure out part c

zepdrix · Answer

$$\Large \color{royalblue}{L=1040-2x} \qquad\to\qquad A=x\color{royalblue}{L}$$Plug! :)

anonymous · Answer

Thank you so much!!! It seems so obvious now!

zepdrix · Answer

heh :3

anonymous · Answer

Ah!!! No, I meant part d, i had c, but part d?

zepdrix · Answer

Hmm so for d we want the `area` to equal 60,000.$$\Large \color{royalblue}{A=60000} \qquad\to\qquad \color{royalblue}{A}=x(1040-2x)$$I'm not really sure what they want in your sentence :P hmm

zepdrix · Answer

Maybe say something like...
When we let our A=60000, it allows us to solve for one of our dimensions, x.