Question

eli takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. if the piece of paper is 9 inches long and 3 inches wide, how long is the diagonal cut that eli made? if necessary, round to the nearest tenth.
inches

Explanation:

Step1: Apply Pythagorean theorem

The diagonal $d$ of a rectangle with length $l$ and width $w$ follows $d^2 = l^2 + w^2$. Here, $l=9$ inches, $w=3$ inches.
$$d^2 = 9^2 + 3^2$$

Step2: Calculate squared values

Compute the squares of length and width.
$$d^2 = 81 + 9 = 90$$

Step3: Solve for diagonal length

Take the square root of 90 and round to nearest tenth.
$$d = \sqrt{90} \approx 9.5$$

Answer:

9.5 inches