Question

What is the perimeter of rhombus WXYZ? units 12 units units 20 units

Answer 1

Let O be the intersection of the vertical line through ZX, and the horizontal line through YW. 

The coordinates of this point are clearly (5, 2) as it is at the same x-coordinate as X and Z, and y-coordinate as Y and W.


So, YZO is a right triangle. By the Pythagorean theorem:

$ZY= \sqrt{{YO}^2+{OZ}^2}= \sqrt{2^2+3^2}= \sqrt{4+9}= \sqrt{13}$.


Since all sides of a rhombus are equal, then the perimeter is :

                               $P(XWZY)=4 \sqrt{13}$ units.


Answer: third choice.