Question

find the cost of carpeting the following rectangular rooms.
a. dimensions: 8.5 m by 4.5 m; cost = $11.02/m²
b. dimensions: 15 yd by 12 yd; cost = $33/yd²
a. the total cost of carpeting the room is $□.
(type an integer or a decimal. round to the nearest cent as needed.)

Explanation:

Step1: Calculate the area of the room

The area \(A\) of a rectangle is given by \(A = l\times w\), where \(l = 8.5\) m and \(w=4.5\) m.
\(A=8.5\times4.5 = 38.25\space m^{2}\)

Step2: Calculate the total cost

The cost per square - meter is \(C_{per}=11.02\) dollars per \(m^{2}\). The total cost \(C\) is \(C = C_{per}\times A\).
\(C=11.02\times38.25\)

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Answer:

\(421.52\)