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)
