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Mr.Webster is buying carpet for an exercise room in his basement. The room will have an area of 230 square feet. The width of the room is 12 1/2 feet.What is the length?

Verified Answer :

The lenght is 18 2/5 feet

Answer:

Length = \(18\frac{2}{5}\) feet

Step-by-step explanation:

Simplify the fraction of the width:

\(12\frac{1}{2}=\frac{25}{2}\)

Using the formula for Area:

\(A=l*w\\l=\frac{A}{w}\)

Substituting the known values:

\(l=\frac{230}{\frac{25}{2}}\\l=230*\frac{2}{25}\\l=\frac{460}{25}\\l=\frac{92}{5}\\l=18\frac{2}{5}\)

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