Question

Find the area in acre of a square park whose perimeter is 240m

Answer 1

The solution is provided below :

It is given that,

The perimeter of the park that is square in shape is = 240 m

To find : Area of the square park in acre

For calculating the area, we have to first apply the formula of perimeter of a square.

We know that,

Perimeter of a square is equal to = 4 x side

240 = 4 x side

$side \:  =  \frac{240}{4}$

$side \:  = 60 \: m$

Now, applying the formula of square's area, we get,

Area of any square = side x side

A = (60 x 60) m^2

A = 3600 m^2

As the question has asked to find the area in acre, so we have to convert 3600 m^2 into acre

So,

1 m^2 = 0.000247 acre

Therefore,

3600 m^2 = (0.000247 x 3600) acre

= 0.8892 acre

Hence, the area is 0.8892 acre

Answer 2

Given: Perimeter of a square park is $240$ m.

To Find: Area in acre of a square park.

Step-by-step explanation:

We know the formula of a square park$=4a$ $m^{2}$ where $a=$sides of the square park.

∴ $4a=240$

⇒$a=\frac{240}{4}$

∴ $a=60$ m

Area of a square park is given$=a^{2}$

∴ Area of a square park$=(60)^{2}$

                                      $=3600\ m^{2}$

Now, We know,

  $1$ acre$=4046.9\ m^{2}$

⇒$1\ m^{2}=\frac{1}{4046.9}$ acre

∴ $3600\ m^{2}=\frac{3600}{4046.7}$ acre

                $=0.8896$ acre

Therefore, Area in acre of a square park is $0.8896$ acre.