2. Solved Papers
  3. CMC Medical

CMC Medical CMC-Medical VELLORE Solved Paper-2014

  • question_answer
    If the diagonal and the area of a rectangle are 25 m and 168\[{{m}^{2}}\], what is the length of the rectangle?

    A)  17 m                    

    B)  31 m

    C)  12 m                    

    D)  24 m

    Correct Answer: D

    Solution :

                    The diagonal d = 25 \[m\] and area A = 168\[{{m}^{2}}\] Let \[I\,\,\]be the length and \[b\,\] be the width of the rectangle. Therefore, \[{{I}^{2}}+{{b}^{2}}={{d}^{2}}\] and \[Ib=A\] We can therefore, write \[{{(I+b)}^{2}}={{d}^{2}}+2A\] and\[{{(I-b)}^{2}}={{d}^{2}}-2A\] Substituting and solving, we get \[(I+b)=31\]and \[(I-b)=17\]. Hence, \[I=24\,m\]and\[b=7\,m\]


You need to login to perform this action.
You will be redirected in 3 sec spinner