Question

Find the value of each variable in the parallelogram. Please show work, if possible!

Answer 1

Given:

The diagonals of the parallelogram bisect each other.

Thus, the lengths of the diagonals of the parallelogram are (k + 4), 11, m and 8.

We need to determine the value of the variables k and m.

Value of k:

Since, we know that, the diagonals bisect each other which means that the diagonals cut each other into two equal halves.

Thus, we have;

$k+4=11$

     $k=7$

Thus, the value of k is 7.

Value of m:

Applying the same property that diagonals bisect each other. We have;

$m=8$

Thus, the value of m is 8.

Hence, the value of the variables k and m are 7 and 8 respectively.