miaabi103
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Gabriella needs 120 meters of fence to surround a rectangular garden.
The length of the garden is three times its width, w.
How wide is the fence?

Respuesta :

Aisin

To fence a rectangular garden, we need to fence the length 2 times, and the width 2 times.

So, it will take 120 : 2 = 60 meters of fence to fence 1 length and 1 width

-> The length = 60 : (3+1)x3 = 45 (meters)
-> The width = 60 - 45 = 15 (meters)

Recheck : (45+15) x 2 = 120 and 45:15 = 3


(If it's wrong you can tell me, I don't really know what do you mean by how wide is the fence)

The width of the rectangular garden, for which Gabriella needs 120 meters of fence to surround it is 15 units long.

What is the perimeter of a rectangle?

The measure of the boundary of the sides of a rectangle is called its perimeter. The perimeter of a rectangle is twice the sum of its length and width.

[tex]P=2(l+w)[/tex]

Here, (l) is the length of the rectangle and (w) is the width of the rectangle.

Let suppose the length of the garden is l units long. The length of the garden is three times its width, w. Thus,

[tex]l=3w[/tex]

Gabriella needs 120 meters of fence to surround a rectangular garden. This fencing is equal to the perimeter of the rectangular garden. Thus,

[tex]P=2(l+ w)\\120=2(l+ w)[/tex]

Put the value of length from equation 1 to this equation,

[tex]120=2(3w+ w)\\3w+w=\dfrac{120}{2}\\4w=60\\w=\dfrac{60}{4}\\w=15\rm\; units[/tex]

Thus, the width of the rectangular garden, for which Gabriella needs 120 meters of fence to surround it is 15 units long.

Learn more about the perimeter of the rectangle here;

https://brainly.com/question/19819849

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