Web Analytics
Answered

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.

Verified Answer :

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:

140 sq. ft

Step-by-step 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

\(A=length\times width\)

The area of carpet is

\(A=14\times 10\)

\(A=140\)

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