Answer:
6.2 units
Step-by-step explanation:
First find the width of the rectangle (which is acting as hypotenuse) using the perpendicular legs measuring 3 units and 2 units.
Width of the rectangle
[tex]=\sqrt{3^2+2^2}[/tex]
[tex]=\sqrt{9+4}[/tex]
[tex]=\sqrt{13}[/tex]
Dotted line is the diagonal of the rectangle. it's length can be obtained as given below:
Length of the dotted line
[tex] = \sqrt{ {(5)}^{2} + {( \sqrt{13)} }^{2} } \\ \\ = \sqrt{25 + 13 } \\ \\ = \sqrt{38 } \\ \\ = 6.164 \\ \\ \approx \: 6.2 \: units[/tex]
