question_answer

A man walked 20 m to cross a rectangular field diagonally If the length of the field is 16 m, the breadth of the field is

A)  4 m                

B)    16m

C)  12m

D)  cannot be determined

Correct Answer: C

Solution :

     Let the length and the breadth of the field be x and y respectively in metres.                   \[AC=\sqrt{{{x}^{2}}+{{y}^{2}}}\,\,\,\,\Rightarrow \,\,\,\sqrt{{{16}^{2}}+{{y}^{2}}}=20\] \[\Rightarrow \,\,y=12\,m\].