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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.

Respuesta :

rachelgenin
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.

[tex]5+3c=14[/tex]

Subtract 5 from both sides.

[tex]3c=9[/tex]

Divide both sides by 3.

[tex]c=3[/tex]

The value of c is 3.

The width of the carpet is

[tex]W=6c-8[/tex]

[tex]W=6(3)-8[/tex]

[tex]W=18-8[/tex]

[tex]W=10[/tex]

The width of the carpet is 10 ft.

The area of a rectangle is

[tex]A=length\times width[/tex]

The area of carpet is

[tex]A=14\times 10[/tex]

[tex]A=140[/tex]

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

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