question_answer

Adjacent sides of a rectangle are in the ratio 5 : 12, if the perimeter of the rectangle is 34 cm, find the length of the diagonal.

A)  13 cm  

B)  12cm         

C)  25 cm                         

D)  5 cm

Correct Answer: A

Solution :

(a): Draw approximate figure \[2\left( 5x+12x \right)=34\]      \[\Rightarrow x=1.\] Sides are 5, 12. \[\Rightarrow \]diagonal \[=\sqrt{{{5}^{2}}+{{12}^{2}}}=13\].