ABC26GN4339 · Area

Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:

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

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