Math

QuestionFind the area of a rug measuring 8 ft by 12 ft and the cost per square foot if it costs \$ 590. Round to the nearest cent.

Studdy Solution

STEP 1

Assumptions1. The rug is rectangular in shape. The length of the rug is8 feet3. The width of the rug is12 feet4. The cost of the rug is $5905. The area of the rug is calculated by multiplying the length and the width6. The cost per square foot is calculated by dividing the total cost by the total area

STEP 2

First, we need to find the area of the rug. We can do this by multiplying the length and the width.
Area=LengthtimesWidthArea = Length \\times Width

STEP 3

Now, plug in the given values for the length and width to calculate the area.
Area=8feettimes12feetArea =8\, feet \\times12\, feet

STEP 4

Calculate the area of the rug.
Area=8feettimes12feet=96squarefeetArea =8\, feet \\times12\, feet =96\, square\, feet

STEP 5

Now that we have the area of the rug, we can find the cost per square foot. This is done by dividing the total cost by the total area.
Costpersquarefoot=Totalcost/TotalareaCost\, per\, square\, foot = Total\, cost / Total\, area

STEP 6

Plug in the values for the total cost and the total area to calculate the cost per square foot.
Costpersquarefoot=$590/96squarefeetCost\, per\, square\, foot = \$590 /96\, square\, feet

STEP 7

Calculate the cost per square foot.
Costpersquarefoot=$590/96squarefeet=$6.14583333333Cost\, per\, square\, foot = \$590 /96\, square\, feet = \$6.14583333333

STEP 8

Round the cost per square foot to the nearest cent.
Costpersquarefoot=$6.15Cost\, per\, square\, foot = \$6.15The cost per square foot of the rug is $6.15.

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