QuestionAn ecology center has 260 m of fencing for a rectangular area of 4000 m². Find length $x$ and width. Express width in terms of $x$ .

Studdy Solution

STEP 1

Assumptions1. The total length of the fencing is260 meters. . The area of the rectangular garden is4000 square meters.
3. The shape of the garden is a rectangle, so the perimeter is twice the sum of the length and the width.
4. Let $x$ be the length of the rectangle.

STEP 2

We can express the width in terms of the length and the total length of the fencing. The perimeter of a rectangle is given by $2*(length + width)$ . Since we know the total length of the fencing (which is the perimeter), we can write the width as $width = \frac{Perimeter}{2} - length$

STEP 3

Substitute the given values of the perimeter and the length into the equation.
$width = \frac{260}{2} - x$

STEP 4

implify the equation to find the expression for the width.
$width =130 - x$ So, the width of the rectangle in terms of $x$ is $130 - x$ .

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