Question

Lee takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner. The cut he makes is 7 inches long and the width of the fabric is 6 inches. What is the fabric's length? If necessary, round to the nearest tenth.

Answer 1

Let's do a drawing of the situation:

According to the sketch, to find the length, we can use the pythagorean theorem:

$\begin{gathered} l=\sqrt[]{7^2-6^2} \\ l=\sqrt[]{13} \\ l=3.6 \end{gathered}$

The length is 3.6in.