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?
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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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