Chapter 11, Problem 5CR

To determine

To Find: The length of longer altitude.

Answer to Problem 5CR

  $9units$

Explanation of Solution

Given: The parallelogram has $side=8and12$ and shorter altitude is $6$

Given: $side=8and12$

Since the area of parallelogram remains equal with both sides.

Therefore

Let the height of the longer altitude be $h$

Then

Using area of parallelogram.

  $\begin{array}{l}A=bh\\ b_1{h}_1=b_{2}h\\ 12\times 6=8\times h\\ h=9units\end{array}$