Questions: A room is 9 1/4 feet wide and 16 feet long. Find the area of the room ft^2

A room is 9 1/4 feet wide and 16 feet long. Find the area of the room ft^2
Transcript text: A room is $9 \frac{1}{4}$ feet wide and 16 feet long. Find the area of the room $\square$ $\mathrm{ft}^{2}$
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Solution

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Solution Steps

To find the area of a rectangular room, you need to multiply its width by its length. Given the width as \(9 \frac{1}{4}\) feet and the length as 16 feet, we first convert the mixed number to an improper fraction or a decimal, then perform the multiplication.

Step 1: Convert Mixed Number to Decimal

The width of the room is given as \(9 \frac{1}{4}\) feet. To convert this mixed number to a decimal, we calculate: \[ 9 \frac{1}{4} = 9 + \frac{1}{4} = 9 + 0.25 = 9.25 \text{ feet} \]

Step 2: Calculate the Area

The length of the room is given as \(16\) feet. The area \(A\) of the room can be calculated using the formula: \[ A = \text{width} \times \text{length} = 9.25 \times 16 \] Calculating this gives: \[ A = 148.0 \text{ square feet} \]

Final Answer

The area of the room is \(\boxed{148.0 \text{ ft}^2}\).

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