Respuesta :

Answer:

Width is 8 ft

Step-by-step explanation:

The perimeter of the rectangle is given by the formula

P=2(l+b) ------(A)

Where we are given with the values as

P=40 ft

l=12 ft

Putting these values in (A)

40=2(12+b)

Dividing both sides by 2 we get

20=12+b

Subtracting 12 from both sides we get

8=b

Hence the width of the rug us 8 ft

The width of the rectangular rug is 8 feet and this can be determined by using the formula of the perimeter of a rectangle.

Given :

  • The perimeter of a rectangular rug is 40 feet.
  • The rectangular rug length is 12 feet.

The formula of the perimeter of a rectangle is:

[tex]\rm P = 2\times (L + W)[/tex]

where L is the length of the rectangle and B is the width of the rectangle.

Now, put the values of perimeter P and length L in the above equation.

[tex]\rm 40 = 2\times (12+ W)[/tex]

Further, simplify the above expression.

[tex]\rm 20 = 12 +W[/tex]

W = 8 feet

The width of the rectangular rug is 8 feet.

For more information, refer to the link given below:

https://brainly.com/question/23450266