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).