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Quantitative Aptitude

Time & Work

The length an...

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 m
Let the length and breadth be 3x, 2x
$(3 x + 5) \times 2 x = 2600 6 x^{2} + 10 x = 2600 3 x^{2} + 5 x - 1300 = 0 3 x^{2} - 60 x + 65 x - 1300 = 0 3 x (x - 20) + 65 (x - 20) = 0$
Solving , x=20
So, breadth = 20 m

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