Question

question 17 of 25 in the rectangle below, $overline{ac}$ has a length of 32 units. what is the length of $overline{de}$? a. 16 units b. 64 units c. 32 units d. 24 units

Explanation:

Step1: Recall rectangle property

In a rectangle, diagonals are equal and bisect each other. So $AC = BD$ and $AE=EC$, $DE = EB$.

Step2: Find length of $DE$

Since $AC = 32$ units and $DE=\frac{1}{2}BD$, and $BD = AC$, then $DE=\frac{1}{2}\times32 = 16$ units.

Answer:

A. 16 units