Question

Parallelogram ABCD has area 144, with AB = 16 and BC = 12. Find the length of segment DX.

Answer 1

12

Explanation:

The area of a parallelogram is equal to its base times its height. Segment $DX$ is a height relative to the base $BC$, so

\begin{align*}

(\text{area of }ABCD) &= BC\cdot DX \\

144 &= 12\cdot DX.

\end{align*}Therefore, $DX = \dfrac{144}{12} = \boxed{12}$.

Answer 2

12

Explanation:

The area of a parallelogram is equal to its base times its height. Segment DX is a height relative to the base BC, so (area of ABCD) = BC times DX,

144 = 12 times DX.

So, DX is 12. :)