find the value of h for the parallelogram to the right.\nh = \n(type an integer or decimal rounded to the…

Explanation:

Step1: Recall area formula of parallelogram

The area of a parallelogram can be calculated in two - ways. The formula for the area of a parallelogram is $A = base\times height$.

Step2: Calculate area using one base - height pair

If we consider the base $b_1 = 14$ and the corresponding height $h_1=8$, then the area $A = 14\times8=112$.

Step3: Calculate the unknown height using the other base

Now, if we consider the other base $b_2 = 12$ and let the corresponding height be $h$. Since the area of the parallelogram remains the same regardless of which base - height pair we use, we have $A=b_2\times h$. We know $A = 112$ and $b_2 = 12$. So, $112=12h$.

Step4: Solve for $h$

To find $h$, we divide both sides of the equation $112 = 12h$ by 12: $h=\frac{112}{12}=\frac{28}{3}\approx9.3$.

Answer:

$9.3$