Question

A plot is 30m long and 20m wide .A path 3m wide is to be constructed around the plot. Find the area of the path

Answer 1

Answer:

336 m^2

Step-by-step explanation:

Here,

 Length of the plot is 30 m

 Width of the plot is 20 m.

Thus,

    Area of the plot is length x width

               ⇒ 30 m x 20 m

               ⇒ 600 m^2

When a 3m - wide path is constructed:

 Length as well as width of the plot is increased by 3 + 3 m( as increased from both sides ).

Hence,

 New length = original one + 6 m = 30 m + 6 m = 36 m

 New breadth = original one + 6 m = 20 m + 6 m = 26 m

            New area = 36 m x 26 m  

                   ⇒ 936 m^2

Area of the constructed path is = area of plot including path - area of plot

            ⇒ 936 m^2 - 600 m^2

            ⇒ 336 m^2