The length of a rectangle is 9 feet longer than its width. If its perimeter is 82 feet, what is its width?

L + w = 41 so L = (41-w)

and
L-9 = w

so
(41-w) - 9 = w

2 w = 32

w = 16

To find the width of the rectangle, we first need to set up an equation based on the information given.

Let's assume the width of the rectangle is "w" feet.

According to the given information, the length of the rectangle is 9 feet longer than its width, so the length would be "w + 9" feet.

The formula to calculate the perimeter of a rectangle is given as:
Perimeter = 2 × (Length + Width)

Plugging in the given values, we get:
82 = 2 × (w + 9 + w)

Now, let's solve the equation to find the value of "w".

82 = 2 × (2w + 9) [distributing the 2]

82 = 4w + 18 [simplifying]

Rearranging the equation:
4w = 82 - 18

4w = 64

Dividing both sides by 4:
w = 64 / 4

w = 16

Therefore, the width of the rectangle is 16 feet.