Question

a road of width 2m is constructed along the boundary of Square park of each side 100m from inside, find the inner area​

Answer 1

Answer & Step-by-step explanation:

Area of a square = length x breadth

Area of a square = (100 - 2) x (100 - 2)

Area of the inner area = 9604 m

Answer 2

Given: A road of width 2m is constructed along the boundary of Square park of each side 100m from inside.

To find: The inner area​.

Solution:

• The area of the entire park would be,

        $(100m)^{2} = 10000m^{2}$

• To solve the given question, the area of the boundary is to be found first.
• Each of the corners of the boundary are of dimensions 2 m length and 2 m breadth.
• There are four corners of the boundary.
• The area of just the corners of the boundary is given by,

        $4 * 2m * 2m = 16m^{2}$

• The area of the boundary excluding the corners will be calculated as follows,

        $4 * 8m * 2m = 64m^{2}$

• It is calculated using 8 m since the corners are excluded and there are 4 edges.
• So, the total area of the boundary would be,

        $16m^{2} + 64m^{2} = 80m^{2}$

• The inner area would be,

        $10000m^{2} - 80m^{2} = 9920m^{2}$

Therefore, the inner area​ is 9920 m².