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.
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.