What is the area of the non-overlapping region?
Consider the following for the next two (02) items that follow: Consider two identical rectangles ABCD and BEDF as shown in the figure given below. Let AB=1 cm and BC=2 cm.
- A. \frac{3}{4} square cm
- B. \frac{11}{4} square cm
- C. \frac{3}{2} square cm ✓
- D. \frac{5}{4} square cm
Correct Answer: C. \frac{3}{2} square cm
Explanation
The total area of the two rectangles is 2 \times (1 \times 2) = 4 square cm. The non-overlapping region is the total area minus twice the overlapping area (since the overlap is counted in both rectangles). Thus, Area = 4 - 2(5/4) = 4 - 5/2 = 3/2 square cm.
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