The sides of a rectangle are 20 cm and 15cm if each side of the rectangle is increased by 20 percent,find the percentage increase in the area
Answers
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STEP 1: Find the area of the rectangle:
Area = Length x Breadth
Area = 20 x 15 = 300 cm²
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STEP 2: Find the new length and breadth:
Increase in length = 20% x 20 = 0.2 x 20 = 4 cm
New Length = 20 + 4 = 24 cm
Increase in breadth = 20% x 15 = 0.2 x 15 = 3cm
New Breadth = 15 + 3 = 18 cm
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STEP 3: Find new area:
Area = Length x Breadth
Area = 24 x 18 = 432 cm²
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STEP 4: Find the percentage increased:
Area increased = 432 - 300 = 132 cm²
Percentage increased = 132/300 x 100 = 44%
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Answer: The area increased by 44%
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