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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?

1 Answer

Nityananda · Stefan V.

Nov 20, 2016

$9.2 feet$ $"9.2 feet"$

Explanation:

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

$2 \cdot (length + width) units$ $2 * ("length" + "width") " units"$

So as per question,

$2 \cdot (length + 2.8) = 24$ $2 * ("length" +2.8) = 24$

$2 \cdot (x + 2.8) = 24$ $2* (x + 2.8) = 24$

$2 x + 5.6 = 24$ $2x + 5.6 = 24$

$2 x = 24 - 5.6$ $2x = 24 - 5.6$

$2 x = 18.4$ $2x = 18.4$

$x = \frac{18.4}{2} = 9.2 feet$ $x = 18.4/2 = "9.2 feet"$

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

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