Question

Please help me.
I'm having problems with this problem and I can't seem to get it.

Answer 1

6.2 units

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

`=√(3^2+2^2)`

`=√(9+4)`

`=√(13)`

Dotted line is the diagonal of the rectangle. it's length can be obtained as given below:

Length of the dotted line

`= \sqrt{ {(5)}^(2) + {( √(13)) }^(2) } \\ \\ = √(25 + 13 ) \\ \\ = √(38 ) \\ \\ = 6.164 \\ \\ \approx \: 6.2 \: units`