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Question

# The length and breadth of a rectangle are in the ratio 3: 2. If the length is increased by 5 m keeping the breadth same, the new area of the rectangle is 2600 sq. m. What is the breadth of the rectangle?

A
30 m
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B
20 m
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C
32 m
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D
Cannot be determined
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E
None of these
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Solution

## The correct option is B 20 mLet the length and breadth be 3x, 2x (3x+5)×2x=26006x2+10x=26003x2+5x−1300=03x2−60x+65x−1300=03x(x−20)+65(x−20)=0 Solving , x=20 So, breadth = 20 m

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