Question

rectangle abcd is rotated 95° about point q to create rectangle abcd. what is the area of rectangle abcd? square units

Explanation:

Step1: Recall rotation property

A rotation is a rigid - motion. Rigid motions preserve the shape and size of a figure. So, the area of rectangle \(ABCD\) is equal to the area of rectangle \(A'B'C'D'\).

Step2: Calculate area of rectangle \(ABCD\)

The area formula for a rectangle is \(A = l\times w\). From the figure, assume the length \(l = 6\) and the width \(w = 2\). Then \(A=6\times2\).
\[A = 12\]
Since the area of \(A'B'C'D'\) is the same as the area of \(ABCD\) due to rotation being a rigid - motion.

Answer:

12