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The length of a exceeds rectangle exceeds its breadth by 9 CM if the length and breadth are each increased by 3 cm the area of new rectangle will be 84 CM square more than that of the given rectangle find the length and breadth of the given rectangle?
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The length of a exceeds rectangle exceeds its breadth by 9 CM if the l...
Given Data:
- Let the length of the rectangle be L cm
- Let the breadth of the rectangle be B cm
- Given that L = B + 9

Given Condition:
- When the length and breadth are increased by 3 cm, the area of the new rectangle is 84 cm² more than that of the given rectangle.

Calculation:
- Area of the given rectangle = L * B
- Area of the new rectangle = (L + 3) * (B + 3)
- According to the condition, (L + 3) * (B + 3) = L * B + 84

Substitute the value of L in terms of B:
- (B + 9 + 3) * (B + 3) = (B + 9) * B + 84
- (B + 12) * (B + 3) = B^2 + 9B + 84
- B^2 + 3B + 12B + 36 = B^2 + 9B + 84
- B^2 + 15B + 36 = B^2 + 9B + 84
- 15B - 9B = 84 - 36
- 6B = 48
- B = 8

Calculate the value of L:
- L = B + 9 = 8 + 9 = 17

Answer:
- The length of the given rectangle is 17 cm and the breadth is 8 cm.
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The length of a exceeds rectangle exceeds its breadth by 9 CM if the length and breadth are each increased by 3 cm the area of new rectangle will be 84 CM square more than that of the given rectangle find the length and breadth of the given rectangle?
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The length of a exceeds rectangle exceeds its breadth by 9 CM if the length and breadth are each increased by 3 cm the area of new rectangle will be 84 CM square more than that of the given rectangle find the length and breadth of the given rectangle? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The length of a exceeds rectangle exceeds its breadth by 9 CM if the length and breadth are each increased by 3 cm the area of new rectangle will be 84 CM square more than that of the given rectangle find the length and breadth of the given rectangle? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of a exceeds rectangle exceeds its breadth by 9 CM if the length and breadth are each increased by 3 cm the area of new rectangle will be 84 CM square more than that of the given rectangle find the length and breadth of the given rectangle?.
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