Question

the parallelogram shown below has an area of 72 units². find the missing height. h = units

Explanation:

Step1: Recall the area formula for a parallelogram

The area \( A \) of a parallelogram is given by the formula \( A = base \times height \). Here, the base corresponding to height \( h \) is 6 units (since the side length is 6, and the height is perpendicular to this base), and the area \( A = 72 \) units².

Step2: Substitute values into the formula and solve for \( h \)

We have \( 72 = 6 \times h \). To find \( h \), we divide both sides of the equation by 6: \( h=\frac{72}{6} \). Calculating this, we get \( h = 12 \).

Answer:

12