Question

in the rectangle below, ac has a length of 28 units. what is the length of de? a. 28 units b. 56 units c. 14 units d. 21 units

Explanation:

Step1: Recall rectangle property

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

Step2: Find length of $DE$

Since $AC = 28$ units and $DE=\frac{1}{2}BD$, and $BD = AC$, then $DE=\frac{1}{2}AC$. Substituting the value of $AC = 28$ units, we get $DE=\frac{1}{2}\times28 = 14$ units.

Answer:

C. 14 units