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Gabriella needs 120 m of fence to surround a rectangular garden. The length of the garden is three times its width, W.

How wide is the fence?

User Yamori
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1 Answer

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Answer: The width of the garden/fence will be 15 m.

Step-by-step explanation: First, we have to understand that there will be two wide sides and two long sides, and in a rectangle, the long sides always equal each other and the wide sides equal each other as well. This means that one width and one length will equal 120/2=60.

In other words:

one length of the garden + one width of the garden = 60

Now that we know this, we move on to the "3 times" part of the question. For this step, it is easiest to imagine quarters of something, because 3/4 of something will always be 3 x 1/4 of something; The proportion for 3/4:1/4 will always be 3:1.

60 x 3/4 is equal to 45 and 60 x 1/4 is equal to 15.

To check our answer, L+W+L+W = 45+15+45+15 = 120.

This means each wide side is equal to 15.

User Keidi
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