Question - Calculating Dimensions in a Geometric Figure

To calculate the missing dimensions in the geometric figure, we use the given measurements and understand that opposite sides of a rectangle are equal in length.

The bottom horizontal length marked as $x$ must be equal to the top horizontal length, which is $3+14+6 = 23$ units. Therefore, $x = 23$ units.

The vertical length on the right, also marked as $y$, should be equal to the left vertical length, which is $1+17+1= 19$ units. Therefore, $y = 19$ units.

Therefore, the missing dimensions are $x = 23$ units and $y = 19$ units.