A customer wants to re-carpet a living room and hallway. You charge $5.99 per square yard to remove old carpet and $4.50 per square yard to install the new carpet. The carpet and pad they selected are $16.99 and $3.00 per square yard, respectively. The living room is 17 1 2 by 20 feet and the hall is 4 by 12 feet. About how much should you charge for this job?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Charge per square yard to remove old carpet = $5.99

Charge per square yard to install the new carpet = $4.50

Charge for carpet and pad they selected per square yard = $16.99 and $3.00

Dimension of the living room = 17 1/2 by 20 feet

⇒ 35/2 by 20 feet

Dimension of the hall = 4 by 12 feet

The living room and the hall is in the shape of rectangle.

The formula of area of the rectangle is

[tex]A=(length)(width)[/tex]

The total area of the living room and the hall is

⇒ [tex](\frac{35}{2} )(20)+(4)(12)[/tex]

⇒ [tex]398[/tex] square feet.

The total cost is

⇒ [tex]5.99+4.50+16.99+3.00[/tex]

⇒ [tex]30.48[/tex]

Thus total charge for this job is

⇒ [tex](398)(30.48)[/tex]

⇒ [tex]12131.04[/tex]

Hence we can conclude that the total charge for this job is $12131.04.

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