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Question

# A rectangular room has length L, width W, and height H, where L, W, and H are measured in feet. a. Express the volume in cubic feet algebraically. b. If carpeting costs \$72 per square yard, write an expression for the cost of carpeting the floor of this room.

Solution

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#### a.

Determine the volume of the rectangular room.

\begin{align*} V &= lwh && \text{Write the formula for the volume}\\ V &= LWH && \text{Substitute the values} \end{align*}

Volume is LWH cubic feet.

#### b.

Determine the expression for the cost of carpeting the floor.

\begin{align*} &= 72 \times A && \text{Write an expression} \\ &= 72 \times (lw) && \text{Write the formula area}\\ &= 72 \times LW && \text{Substitute the values}\\ &= 72LW && \text{Multiply} \end{align*}

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