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nasty-shy [4]
3 years ago
15

The perimeter of a rectangle must be less than 170170 feet. If the length is known to be 4444 feet, find the range of possible w

idths for the rectangle. (Note: The formula for the perimeter of a rectangle is P=2l+2wP=2l+2w , where l is the length and w is the width). Express your answer in interval notation. Use decimal form for numerical values.
Mathematics
1 answer:
katrin [286]3 years ago
4 0

Answer:

w \in (0,41)

where w is width of rectangle.

Step-by-step explanation:

We are given the following in the question:

The perimeter of a rectangle must be less than 170 feet.

Length of rectangle = 44 feet

Perimeter of rectangle =

2\times (\text{Length + Width})

Let w be the width of rectangle.

According to the question,

P < 170\\2(44 + w)

Thus, the width of triangle should be less than 41. Since w cannot take negative values, we can express value of w in interval notation as,

w \in (0,41)

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