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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Quadratic Equation

NDA 2013 · Mathematics · Quadratic Equation

The area of a rectangle whose length is five more than twice its...

The area of a rectangle whose length is five more than twice its width is 75 square unit. The length is

Options

  1. A5 unit
  2. B10 unit
  3. C15 unit
  4. D20 unit

Correct answer

C. 15 unit

Step-by-step solution

Let width = xx so length = 2x+5\thereforex(2x+5)=752 x+5\thereforex(2 x+5)=752x2+15x−10x−75=0(x−5)(2x+15)=0\begin{aligned} 2 x^2+15 x-10 x-75 & =0 \\ (x-5)(2 x+15) & =0\end{aligned}x=5,−152∴x=5,-\frac{15}{2}\therefore length =2x+5=15=2 x+5=15 unit
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