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The length and the breadth of a rectangle are made to increase and decrease, respectively, by 8% and 10%. What is the percentage increase or decrease in its area?
Decrease by 1.8%
Increase by 1.8%
Increase by 2.8%
Decrease by 2.8%
- Let's start by considering the original area of the rectangle, which is the product of its length and breadth.
- When the length is increased by 8% and the breadth is decreased by 10%, the new dimensions are 1.08 times the original length and 0.90 times the original breadth.
- To find the new area, multiply these factors with the original area: (1.08) * (0.90) = 0.972.
- Hence, the new area is 97.2% of the original area.
- This means there is a net change, specifically a decrease, of 2.8% from the original.
The correct option is:
- Option 4: Decrease by 2.8%
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