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?

Respuesta :

Answer:

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)

Answer: 18 ft (C)

Step-by-step explanation:

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