# Suppose you have 24 feet of fencing to enclose your garden. The width of the garden is 2.8. What length must the garden be to use all of the fencing?

Nov 20, 2016

$\text{9.2 feet}$

#### Explanation:

Let the length be $x$. The garden is in rectangular shape, so its perimeter will be

2 * ("length" + "width") " units"

So as per question,

$2 \cdot \left(\text{length} + 2.8\right) = 24$

$2 \cdot \left(x + 2.8\right) = 24$

$2 x + 5.6 = 24$

$2 x = 24 - 5.6$

$2 x = 18.4$

$x = \frac{18.4}{2} = \text{9.2 feet}$

Hence the length will be $9.2$ feet to use all of the fencing.