To find the length of the diagonal cut that Mitch made, we can use the Pythagorean theorem. The diagonal \(d\) of a rectangle can be found using the formula:
\[ d = \sqrt{l^2 + w^2} \]
where \(l\) is the length and \(w\) is the width of the rectangle. Here, \(l = 6.9\) inches and \(w = 4.8\) inches.
Now, we can calculate:
- Square the length and width:
\[ l^2 = (6.9)^2 = 47.61 \]
\[ w^2 = (4.8)^2 = 23.04 \]
- Add these squares together:
\[ l^2 + w^2 = 47.61 + 23.04 = 70.65 \]
- Take the square root of the sum:
\[ d = \sqrt{70.65} \approx 8.4 , \text{inches} \]
Thus, the length of the diagonal cut that Mitch made is approximately 8.4 inches when rounded to the nearest tenth.