The perimeter of the rhombus in this problem is given as follows: 19.8 units.
What is the perimeter of a polygon?
The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
The diagonal length can be obtained as follows:
RU = UT = 3.
QU = US = 4.
RU + US = 7.
Applying the Pythagorean Theorem, the side length is obtained as follows:
x² + x² = 7²
2x² = 49
x = √49/2
x = 4.95.
Then the perimeter is given as follows:
P = 4 x 4.95
P = 19.8 units.