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If the length of rectangle is decreased by 25% and its breadth is increased by 30% then by how much percent its area is increased or decreased?1). 2.5% increased2). 2.5% decreased3). 5% increased4). 5% decreased |
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Answer» AREA of rectangle = LENGTH × BREADTH Let Length of rectangle be a and breadth be b New area = (a – 25% of a) × (b + 30% of b) ⇒ New area = 0.75a × 1.3b ⇒ New area = 0.975ab ? 0.975ab < ab, area has decreased Percent decrease in area = (Original area - New area) × 100/ Original area ⇒ Percent decrease = (ab - 0.975ab) × 100/ab ⇒ Percent decrease = 0.025 × 100 = 2.5%. |
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