Pregunta
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A rectangular bathroom floor is covered with square tiles that are \( 1 \frac{1}{2} \) feet by The length of the bathroom floor is \( 10 \frac{1}{2} \) feet and the width is \( 6 \frac{1}{2} \) feet. a. How many tiles does it take to cover the length of the floor?

Ask by Kelley Boyd. in the United States
Nov 26,2024

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It takes 7 tiles to cover the length of the floor.

Solución

To find out how many tiles it takes to cover the length of the floor, we need to calculate the number of tiles that can fit along the length of the floor. Given: - Length of the bathroom floor = \( 10 \frac{1}{2} \) feet - Length of each tile = \( 1 \frac{1}{2} \) feet To find the number of tiles that can fit along the length of the floor, we divide the length of the floor by the length of each tile. Let's calculate this: Calculate the value by following steps: - step0: Calculate: \(\frac{10.5}{1.5}\) - step1: Convert the expressions: \(\frac{\frac{21}{2}}{\frac{3}{2}}\) - step2: Multiply by the reciprocal: \(\frac{21}{2}\times \frac{2}{3}\) - step3: Reduce the numbers: \(7\) It takes 7 tiles to cover the length of the floor.

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The Deep Dive

To cover the length of the floor, you first need to convert the measurements into improper fractions. The length of the bathroom is \( 10 \frac{1}{2} \) feet, which converts to \( \frac{21}{2} \) feet. The size of each tile is \( 1 \frac{1}{2} \) feet, converting to \( \frac{3}{2} \) feet. Now, divide the length of the floor by the length of one tile: \[ \text{Number of tiles for length} = \frac{\frac{21}{2}}{\frac{3}{2}} = \frac{21}{2} \times \frac{2}{3} = \frac{21}{3} = 7. \] So, it takes 7 tiles to cover the length of the floor. Now let's move on to the width.

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