Question

A rectangular plot is 75 metre long and 60 metre broad. It has a path of width 2 metre all around it inside. Find the area of the path.​

Answer 1

Hence, the area of the path is 524m².

Answer 2

Given:

Length of the rectangular plot = 75m

Breadth of the rectangular plot = 60m

Path width all around the plot = 2m

To find:

Area of the path

Solution:

We know the formula:   Area = Length x Breadth

• Let the area of the rectangular plot including the path = A1

A1 = Length of the rectangular plot x Breadth of the rectangular plot

A1 = 75m x 60m

A1 = 4500m^2

• Let the area of the rectangular plot inner to the path i.e. excluding the area of the path = A2

To calculate A2, we need to subtract 4 from the length and the breadth of the rectangular plot in order to exclude the area of the path.

• Let the new length be = L2
• Let the new breadth be = B2

L2 = 75 - 4 = 71m

B2 = 60 - 4 = 56m

A2= L2 x B2 = 71m x 56m = 3976 m^2

Now to obtain the area of the path we need to subtract A2 from A1 i.e. subtract the area excluding the area of the path from the area including the area of the path.

• Let the area of the path be = A3

A3 =A1 - A2 = 4500 - 3976 = 524m^2

Thus the area of the path will be equal to 524m^2.