Question

in the rectangle below, ac = 36 units. what is de? a. 18 b. 36 c. 12 d. 24

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 \(DE\) length

Since \(AC = 36\) units and \(DE=\frac{1}{2}BD\), and \(BD = AC\), then \(DE=\frac{1}{2}AC\). Substituting \(AC = 36\) into the formula, we get \(DE=\frac{36}{2}=18\) units.

Answer:

A. 18