Respuesta :
Answer:
We can write the range for w as : 18 ≤ w ≤ 34
Step-by-step explanation:
The perimeter of rectangle is given as :
P = 2 ( length + width)
or P = 2 l + 2 w
Now, given the length of the garden is 16 feet
Also given is that the perimeter of the garden must be at least 68 feet and no more than 100 feet.
So, this can be written as :
[tex]68 \leq P \leq 100[/tex]
or, [tex]68 \leq (2l + 2w) \leq 100[/tex]
Substitute l = 16, we get:
[tex]68 \leq (2(16) + 2w) \leq 100[/tex]
[tex]68 \leq (32 + 2w) \leq 100\\\implies 68 - 32\leq 2w \leq 100-32\\\implies 36\leq 2w \leq 68\\\implies 18\leq w \leq 34[/tex]
So, we can write the range for w as : 18 ≤ w ≤ 34
