Question

If Mr. arenth wants to put new carpeting in the room shown, how many square feet should he order L= 14ft. W = 6c-8ft. L= 5+3c ft.

Answer 1

if you put 5+3c=14 and solve you will get c=3 so then you put 3 in for c for the width equation. you then get 10 ft for the width. if you multiply 10 ft by 14 ft you would get the answer of 140 sq ft

Answer 2

140 sq. ft

Explanation:

Given information: L= 14ft. W = 6c-8ft. L= 5+3c ft.

Equate the values of length.

`5+3c=14`

Subtract 5 from both sides.

`3c=9`

Divide both sides by 3.

`c=3`

The value of c is 3.

The width of the carpet is

`W=6c-8`

`W=6(3)-8`

`W=18-8`

`W=10`

The width of the carpet is 10 ft.

The area of a rectangle is

`A=length* width`

The area of carpet is

`A=14* 10`

`A=140`

Therefore, Mr. arenth should order carpet of 140 sq. feet carpet.