Give the step-by-step reasoning process and then the final answer. A rectangle has a length of 40 meters and a width of 20 meters. A similar smaller rectangle has half the length and width of the big rectangle. What's the area of the smaller rectangle?
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The length of the smaller rectangle is 1 / 2 * 40 = 20 meters. The width of the smaller rectangle is 1 / 2 * 20 = 10 meters. Since the area of a rectangle is found by multiplying the length times the width, the total area of the smaller rectangle is 20 * 10 = 200 meters square.
The final answer: 200.
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