The diagonals of the parallelogram intersect at the mid-point. the length of the side SQ is 30 units.
What is a parallelogram?
It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a parallelogram, opposite sides are parallel and equal.
The dimensions of the parallelogran is shown;
SX = 2x – 1, RX = 3x – 3, and RT = 5x + 2
We know that its diagonals intersect at mid-point. Then
RT = 2 times RX
5x + 2 = 2 × (3x – 3)
5x + 2 = 6x – 6
x = 8
Then the side SX will be
SX = 2x – 1
SX = 2 × 8 – 1
SX = 16 – 1
SX = 15
Then the side SQ will be
SQ = 2 times SX
SQ = 2 × 15
SQ = 30
Thus, the length of the side SQ is 30 units.
More about the parallelogram link is given below.
https://brainly.com/question/1563728
