Question

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

Explanation:

Step1: Recall rectangle property

In a rectangle, the diagonals are equal and bisect each other. So \(AC = BD\) and \(AE=EC=\frac{1}{2}AC\), \(DE = EB=\frac{1}{2}BD\).

Step2: Calculate \(DE\)

Since \(AC = BD = 36\) units and \(DE=\frac{1}{2}BD\), then \(DE=\frac{36}{2}=18\) units.

Answer:

A. 18