Answer :

The length of TU in the parallelogram is 8 units.

What is a parallelogram?

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

In other words, a parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other

The diagonal of a parallelogram bisect each other.

Therefore, the diagonals of parallelogram QRST intersect at point U.

TU = 9x − 1 and RU = 5x + 3

Hence,

9x - 1 = 5x + 3

9x - 5x = 3 + 1

4x  = 4

divide both side by 4

4x / 4 = 4 / 4

x = 1

Therefore,

TU = 9x - 1 = 9(1) - 1 = 8 units

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