Florence's living room measures 12 ft by 14 ft. She wants to put a rug in the living room and leave 1 foot of uncovered flooring on all sides of the rug. Rugs cost $3.29 per square foot. Before taxes, how much will a rug for Florence's living room cost

Respuesta :

Answer:

Total cost = $394.8

Step-by-step explanation:

Given:

Florence's living room measures 12 ft by 14 ft.

She wants to put a rug in the living room and leave 1 foot of uncovered flooring on all sides of the rug.

Rugs cost $3.29 per square foot.

Question asked:

How much will a rug for Florence's living room cost ?

Solution:

First of all we will find the dimension of rug and then its area.

As 1 foot of uncovered flooring is on all sides of the rug, hence to find the length of rug, we will subtract 2 feet from the length of the room.

Length of the rug = 14 feet - 2 feet

                             = 12 feet

Similarly, width of the rug = 12 feet - 2 feet = 10 feet

Now,

[tex]Area\ of\ the\ rectangular\ rug=length\times width[/tex]

                                              [tex]=12\times10=120\ square\ feet[/tex]

Cost of rugs for 1 square feet = $3.29

Cost of rugs for 120 square feet = $3.29 [tex]\times[/tex] 120

                                                     = $394.8

Thus, total cost of rugs for Florence's living room will be $394.8

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