1. **Problem Statement:**
Find the area of the shaded region which is the inner rectangle framed by a 2-unit wide frame inside an outer rectangle of width 12 units and height 8 units.
2. **Understanding the problem:**
The outer rectangle has dimensions width = 12 and height = 8.
The frame around the inner rectangle is 2 units wide on all sides.
3. **Formula for area of a rectangle:**
$$\text{Area} = \text{width} \times \text{height}$$
4. **Calculate dimensions of the inner rectangle:**
Since the frame is 2 units wide on each side, the inner rectangle's width is:
$$12 - 2 - 2 = 12 - 4 = 8$$
Similarly, the inner rectangle's height is:
$$8 - 2 - 2 = 8 - 4 = 4$$
5. **Calculate the area of the inner rectangle (shaded region):**
$$\text{Area}_{\text{shaded}} = 8 \times 4 = 32$$
6. **Final answer:**
The area of the shaded region is $32$ square units.
Rectangle Frame D767D5
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