Hector needs 84 feet of fencing to enclose his rectangular gardenThe length of his garden is 12 feet less than twice its widthWhat is the width of his garden?

The width of his garden is 18 feet.

Step-by-step explanation:

Let the length of Hector's rectangular garden is a feet and width is b feet.

So, by the given condition, we can write that

2 (a + b) = 84

⇒ a + b = 42 ... (1)

Again, the length of his garden is 12 feet less than twice its width.

So, a = 2b - 12 ... (2)

Now, solving equations (1) and (2) we get,

(2b - 12) + b = 42

⇒ 3b = 54

⇒ b = 18 feet.

Now, from equation (1) we get,

a = 42 - b = 42 - 18 = 24 feet.

Therefore, the width of his garden is 18 feet. (Answer)