Question

in the rectangle below, ac = 48 units. what is de? a. 32 b. 16 c. 24 d. 48

Explanation:

Step1: Recall the property of rectangle's diagonals

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

Step2: Calculate the length of \(DE\)

Since \(AC = 48\) units and \(DE=\frac{1}{2}BD\), and \(BD = AC\) (diagonals of a rectangle are equal). Then \(DE=\frac{1}{2}\times AC\). Substitute \(AC = 48\) into the formula: \(DE=\frac{48}{2}\).

Answer:

C. 24