Answer:
6√5 units
Step-by-step explanation:
From the plot, you can see that side WX is the hypotenuse of a right triangle with legs of 4 and 2 units. The Pythagorean theorem tells you the length of that is ...
WX = √(4² +2²) = √20 = 2√5
The length of XY is half that, as it is the hypotenuse of a right triangle with legs 2 and 1 units.
Then the perimeter of the rectangle is the sum of side lengths
P = 2(2√5 +1√5) = 2(3√5)
P = 6√5 units
