The perimeter of a rectangle must be less than 172 feet. If the length is known to be 53 feet, find the range of possible widths

Question

3 years ago

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The perimeter of a rectangle must be less than 172 feet. If the length is known to be 53 feet, find the range of possible widths

for the rectangle. (Note: The formula for the perimeter of a rectangle is P=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:

dlinn [17] · Answer 1 · 2022-04-28T08:49:12+03:00

The interval notation for width of rectangle will be: (1,33)

Step-by-step explanation:

Perimeter of rectangle < 172 feet

Length of rectangle = 53 feet

Width of rectangle = ? (range of values)

The formula used to find perimeter of rectangle is:

$Perimeter=2l+2w$

where l is length and w is width

In our case we will use: $2l+2w$ because perimeter should be less than 172

Putting values:

$2l+2w$

So, width should be less than 33

Since width should be positive and greater than 0

So, the interval notation for width of rectangle will be: (1,33)

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