7th Class Mental Ability Related to Competitive Exam Question Bank Mensuration

  • question_answer
    The diagonals of a rhombus are 24 cm and 10 cm. Find the perimeter of rhombus.

    A) 52 cm   

    B) 58 cm

    C) 99 cm                          

    D) 81 cm

    E) None of these

    Correct Answer: A

    Solution :

    Explanation \[\operatorname{Area} = \frac{1}{2} \left( produce of diagonals \right)\] \[= \,\,\frac{1}{2} \times  24 \times  10 = 120 c{{m}^{2}}\] \[\operatorname{side}\,\,=\,\,\frac{1}{2}\,\,\sqrt{(sum\,\,of\,\,the\,\,square\,\,of\,\,diagonals)}\] \[=\,\,\,\frac{1}{2}\,\sqrt{(2{{4}^{2}}+1{{0}^{2}})}=\,\,\frac{\sqrt{676}}{2}\,=\frac{26}{2}=13cm\] Perimetre \[=\,\,\,4 \times  13 = 52 cm.\]             


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