Question

The area of a square lawn is 400 m square.What is its perimeter

Answer 1

Answer:

area of square= s×s

400 =s^2

✓400 = s

20 = s

perimeter of square = 4s

= 4×20 = 80

Answer 2

• The perimeter of the square lawn = 80 m.

Given :–

• The area of a square lawn = 400 m².

To Find :–

• The perimeter of a square lawn.

How to solve ?

We have to find the perimeter of a square lawn.

First, we need to find the length of the sides of the square lawn with the help of the given value of the area of the square lawn. Then subtitute the value of sides of the square lawn in the formula of the perimeter of the sqaure.

Area of the square = Side²

Perimeter of the square = 4 × Side

Solution :–

First, we need to find the length of the side of the square lawn.

Given,

Area of a square lawn = 400 m²

→ Side² = 400 m²

→ Side = $\sf \sqrt{400 \: {m}^{2}}$

We know that,

• √400 = 20.
• Square root cuts the power.

Now we obtain,

→ Side = 20 m

So, the length of the side of the square lawn is 20 m.

Now, we have to find the perimeter of the square lawn.

We know that,

Perimeter of the square lawn = 4 × side

Now we have,

• Side of the square lawn = 20 m.

→ 4 × 20 m

→ 80 m

Hence,

The perimeter of the square lawn is 80 m.