Question

The shape above is a parallelogram. Find j and find k.

Answer 1

• j = 4.5
• k = 2

Explanation:

You want the values of the variables j and k in the parallelogram with the halves of one diagonal labeled (3j) and (5j-9), and the halves of the other diagonal labeled (6k) and (k+10).

Diagonals

The diagonals of a parallelogram bisect each other. That means ...

5j -9 = 3j ⇒ 2j = 9 ⇒ j = 4.5

6k = k +10 ⇒ 5k = 10 ⇒ k = 2

The values of j and k are 4.5 and 2, respectively.