Try the fastest way to create flashcards
Question

# An ecology center wants to set up an experimental garden using three hundred meters of fencing to enclose a rectangular area of five thousand square meters.(a) Let $x$ meters represent the width of the garden. Why must the length be $150-x$ meters?(b) Write an expression $\mathscr{A}(x)$ that represents the area of the garden.(c) What are the restrictions on $x$ ?(d) Use the given values for area and length of fencing to find the dimensions of the garden.

Solution

Verified
Step 1
1 of 7

$2x+2y=300$

$2y=300-2x$

$y=\dfrac{300-2x}{2}=\dfrac{2(150-x}{2}=150-x$

a) Let's note:

$x$=the width of the rectangle

$y$=the length of the rectangle.

We determine $y$ in terms of $x$ using the perimeter:

## Recommended textbook solutions #### College Algebra and Trigonometry

1st EditionISBN: 9780078035623Donna Gerken, Julie Miller
9,697 solutions #### A Graphical Approach to College Algebra

7th EditionISBN: 9780134696522John Hornsby
5,263 solutions #### Algebra and Trigonometry

4th EditionISBN: 9781305071742 (3 more)Lothar Redlin, Stewart, Watson
11,356 solutions #### College Algebra and Trigonometry

7th EditionISBN: 9781439048603Richard D. Nation, Richard N. Aufmann, Vernon C. Barker
7,752 solutions