The length of a rectangle is increased by 25% and breadth was decrease

1.	The length of a rectangle is increased by 25% and breadth was decreased by 20% then what will be the percentage change in the area of the rectangle?1. 15 % increase2. 25% increase3. 10% increase4. 0%5. 20% decrease
Answer» Correct Answer - Option 4 : 0% Given- Length of a rectangle is increased by 25% Concept Used- Area of Rectangle = Length × Breadth Calculation- Let length of rectangle be l and breadth be b Area of rectangle initially = l × b Increased length = l(1 + 25%) ⇒ 5l/4 Decreased Breadth = b(1 - 20%) ⇒ 4b/5 Area of new rectangle = 5l/4 × 4b/l ⇒ lb ∴ Percentage change in the area of the rectangle = 0%

The length of a rectangle is increased by 25% and breadth was decreased by 20% then what will be the percentage change in the area of the rectangle?1. 15 % increase2. 25% increase3. 10% increase4. 0%5. 20% decrease

Answer» Correct Answer - Option 4 : 0%

Given-

Length of a rectangle is increased by 25%

Concept Used-

Area of Rectangle = Length × Breadth

Calculation-

Let length of rectangle be l and breadth be b

Area of rectangle initially = l × b

Increased length = l(1 + 25%)

⇒ 5l/4

Decreased Breadth = b(1 - 20%)

⇒ 4b/5

Area of new rectangle = 5l/4 × 4b/l

⇒ lb

∴ Percentage change in the area of the rectangle = 0%

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The length of a rectangle is increased by 25% and breadth was decreased by 20% then what will be the percentage change in the area of the rectangle?1. 15 % increase2. 25% increase3. 10% increase4. 0%5. 20% decrease

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