question_answer

A rectangular grassy plot is 110 m by 65 m. It has a uniform path 2.5 m wide all around it on the inside. The area of the path is

A)  \[750\,\,\text{c}{{\text{m}}^{2}}\]

B)  \[850\,\,\text{c}{{\text{m}}^{2}}\]

C)  \[950\,\,\text{c}{{\text{m}}^{2}}\]

D)  \[1050\,\,\text{c}{{\text{m}}^{2}}\]

Correct Answer: B

Solution :

Area of plot \[=110\times 65\,\,{{\text{m}}^{2}}=7150\,\,{{\text{m}}^{2}}\] Area of the plot excluding the path \[=(110-5)\times (65-5)=(105\times 60)=6300\,\,{{\text{m}}^{2}}\] \[\therefore \]Area of path \[=7150-6300=850\,\,{{\text{m}}^{2}}\]