question_answer

A lawn 120 m by 80 m is surrounded by a path of 3 m width. The area (in\[{{\text{m}}^{\text{2}}}\]) of the path is

A)  1164                     

B)         1236  

C)  8364                     

D)         10836

Correct Answer: B

Solution :

 Area of the lawn and the path together \[=(120+6)\,(80+6)\] \[=126\times 86=10836\,{{m}^{2}}\] Area of the lawn\[~=120\times 80=9600\text{ }{{m}^{2}}\]                 Area of the path\[=10836-9600=1236\text{ }{{m}^{2}}\]