Question

Question

The tiles in a store are being compared. The diagonal of one tile is 92–√
centimeters, and the other tile is 82–√
centimeters. What is the difference in the length of the diagonals?(1 point)
The difference is
centimeters.

Answer 1

To find the difference in the lengths of the diagonals of the two tiles, we need to subtract the two values:

1. The diagonal of the first tile is \( \sqrt{92} \) cm.
2. The diagonal of the second tile is \( \sqrt{82} \) cm.

The difference is given by:

\[ \sqrt{92} - \sqrt{82} \]

Now, we can calculate this difference:

1. Calculate \( \sqrt{92} \): \[ \sqrt{92} \approx 9.5917 \]

2. Calculate \( \sqrt{82} \): \[ \sqrt{82} \approx 9.0554 \]

3. Now, compute the difference: \[ 9.5917 - 9.0554 \approx 0.5363 \]

Thus, the difference in the length of the diagonals is approximately \( 0.5363 \) centimeters.

Therefore, the answer is: The difference is approximately 0.54 centimeters (if rounded to two decimal places).