The ratio between the length and the breadth of a rectangular field is 3 : 2. If only the length is increased… · ABC26GN4339

Subject: General Aptitude · Chapter: Area

The ratio between the length and the breadth of a rectangular field is 3 : 2. If only the length is increased by 5 metres, the new area of the field will be 2600 sq. metres. What is the breadth of the rectangular field?

(a)40 metres

(b)60 metres

(c)65 metres

(d)Cannot be determined

(e)None of these

Answer

Answer (as printed): A

Explanation

Let length $=(3 x)$ metres and breadth $=(2 x)$ metres. Then, $(3 x+5) \times 2 x=2600$ $$\begin{aligned} & \Leftrightarrow 6 x^{2}+10 x-2600=0 \\ & \Leftrightarrow 3 x^{2}+5 x-1300=0 \\ & \Leftrightarrow(3 x+65)(x-20)=0 \Leftrightarrow x=20 . \\ & \therefore \text { Breadth }=2 x=40 \mathrm{m} . \end{aligned}$$

Study loop for Area

1. Practise the PYQsPrevious-year questions, with answers

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