A rectangular grassy plot is 112 m by 78 m. It has a gravel path 2.5 m m wide all around it on the inside. Find the area of the path ?



A rectangular grassy plot is 112 m by 78 m. It has a gravel path 2.5 m m wide all around it on the inside.Find the area of the path ?

A. 952 m²

B. 925 m²

C. 912 m²

D. 950 m²

Answer : B. 925 m²


Explanation:

    Outer length of the grassy plot = 112 m
    Outer breadth of the plot = 78 m

    Outer area of the plot = 112 x 78
    = 8736 sq m
    Width of the path = 2.5 m

    Inner length of the plot = 112 - (2 x 2.5)
    = 107 m
    Inner breadth of the plot = 78 - (2 x 2.5)
    = 73 m

    Inner area of the plot = 107 x 73
    = 7811 sq m

    Area of the path = Outer area of the plot - inner area of the plot
    = 8736 - 7811
    = 925 m²


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