Question

The length of a rectangular rug is 4 feet less than twice its width. The perimeter of the rug is 40 feet. Write a system of equations that can be used to find the length, l, and width, w, of the rug, in feet.

Answer 1

Answer:

Step-by-step explanation:

L=2W-4

40=2L+2W

The first equation uses the information that the length of a rectangular rug is 4 feet less than twice its width.

The second equation is using your standard perimeter equation of 2L+2W=perimeter of a rectangle.

Hope this is helpful :)

Answer 2

A system of equations that can be used to find the dimensions of the rectangular rug is:

$L=2W-4$

$40=6W-8$

• Let the length of the rectangle be L.

• Let the width of the rectangle be W.

Given the following data:

• Perimeter of rug = 40 feet.

• L = 2W - 4

To calculate the length of the rectangle:

Formula for the perimeter of a rectangle.

Mathematically, the perimeter of a rectangle is given by the formula;

$P=2(L+W)$

Where:

• P is the perimeter of a rectangle.

• L is the length of a rectangle.

• W is the width of a rectangle.

Substituting the parameters into the formula, we have;

$40=2(W+2W-4 )\\\\40=2(3W-4 )\\\\40=6W-8$

For the length of rug:

$L=2W-4$

Read more on perimeter of a rectangle here: https://brainly.com/question/17297081