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Y_Kistochka [10]
3 years ago
9

Dylan is creating a rectangular garden in his back yard. The length of the garden is 16 feet. The perimeter of the garden must b

e at least 68 feet and no more than 100 feet.The width of the garden must be at least feet and no more than feet.
Mathematics
1 answer:
gladu [14]3 years ago
4 0

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 :

68 \leq P \leq 100

or,  68 \leq (2l + 2w) \leq 100

Substitute l = 16, we get:

68 \leq (2(16) + 2w) \leq 100

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

So, we can write the range for w as :  18 ≤ w ≤ 34

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