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The area of a rectangle get reduced by 9 square unit if is length is reduced by 5 unit and the bread is increased by 3 unit if we increase the length by 3 unit and breadth by 2 unit area is increased by 67 square unit find the length and breadth of rectangle?
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The area of a rectangle get reduced by 9 square unit if is length is r...
Given Information:
- Area of rectangle reduced by 9 sq units when length reduced by 5 units and breadth increased by 3 units.
- Area increased by 67 sq units when length increased by 3 units and breadth increased by 2 units.

Let's Solve:

Step 1: Represent the given information
Let the original length and breadth of the rectangle be L and B respectively.
Area of rectangle = L x B
When length is reduced by 5 units and breadth is increased by 3 units:
New length = L - 5
New breadth = B + 3
New area = (L - 5)(B + 3)
Given: New area - Original area = 9
(L - 5)(B + 3) - L x B = 9
When length is increased by 3 units and breadth is increased by 2 units:
New length = L + 3
New breadth = B + 2
New area = (L + 3)(B + 2)
Given: New area - Original area = 67
(L + 3)(B + 2) - L x B = 67

Step 2: Solve the equations
Solving the above two equations, we get:
LB - 5L + 3B - 15 - LB = 9
5L - 3B = 24 [Equation 1]
LB + 3L + 2B + 6 - LB = 67
3L + 2B = 61 [Equation 2]

Step 3: Find the length and breadth
Solving Equations 1 and 2 simultaneously, we get:
L = 23
B = 15

Conclusion:
The length of the rectangle is 23 units and the breadth is 15 units.
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The area of a rectangle get reduced by 9 square unit if is length is reduced by 5 unit and the bread is increased by 3 unit if we increase the length by 3 unit and breadth by 2 unit area is increased by 67 square unit find the length and breadth of rectangle?
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The area of a rectangle get reduced by 9 square unit if is length is reduced by 5 unit and the bread is increased by 3 unit if we increase the length by 3 unit and breadth by 2 unit area is increased by 67 square unit find the length and breadth of rectangle? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The area of a rectangle get reduced by 9 square unit if is length is reduced by 5 unit and the bread is increased by 3 unit if we increase the length by 3 unit and breadth by 2 unit area is increased by 67 square unit find the length and breadth of rectangle? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of a rectangle get reduced by 9 square unit if is length is reduced by 5 unit and the bread is increased by 3 unit if we increase the length by 3 unit and breadth by 2 unit area is increased by 67 square unit find the length and breadth of rectangle?.
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