Question

Maria's family has a square plot of land of side 20 m. A path 1 m.wide runs all around it from outside.let's find the area of the path.​

Answer 1

ANSWER:

84 METRE SQUARE(84²)

STEP BY STEP EXPLANATION :

Area of the path = total area of path and plot - plot area only

First, let’s find the area of the plot:

20m x 20m = 400m^2

The path is 1m wide and runs all the way around, so, it describes an ‘outer square’ of 22m x 22m (2 x 1m larger because there’s 1m of path on each side).

The area of this ‘outer square’ is equivalent to the ‘total area of path and plot’

22m x 22m = 484m^2

So:

Area of the path = total area of path and plot - plot area only

= 484 - 400 = 84m²(ANSWER)

Answer 2

Given :-

Maria's family has a square plot of land of side 20 m.

A path 1 m wide runs all around it from outside.

To Find :-

The area of the path.​

Analysis :-

First find the area of the square plot by it's respective formula.

Then find the area including the path accordingly.

Then subtract the area of the square from area including the path in order to get the area of path.

Solution :-

We know that,

• s = Side
• a = Area

By the formula,

$\underline{\boxed{\sf Area \ of \ square= Side \times Side}}$

Given that,

Side (s) = 20 m

Substituting their values,

Area = 20 × 20

Area = 400 m²

Given, The path is 1 m wide and runs all the way around.

The dimensions,

20 + 1 + 1 = 22 m

Finding the area,

Area = 22 × 22

Area = 484 m²

According to the question,

Area of the path = Area including the path - Area excluding the path

By substituting,

Area of path = 484 - 400

Area = 84 m²

Therefore, area of the path is 84 m².