Question

The area of a square playground is 296.48 square metres. Find the length of its side correct to three decimal places. ​

Answer 1

$\setlength{\unitlength}{1.4mm}}\begin{picture}(30,20)\linethickness{0.3mm}\put(0,0){\line(0,1){30}}\put(0,0){\line(1,0){30}}\put(0,30){\line(1,0){30}}\put(30,0){\line(0,1){30}}\end{picture}$

Given

• Area of square playground= 296.48m²

Find out

• Find the length of its side correct to three decimal places.

Solution

As we know that

★ Area of square = side × side ★

*Let the side be a*

➟ Area of square = 296.48

➟ a × a = 296.48

➟ a² = 296.48

➟ a = √296.48

➟ a = 17.218m

Hence, the side of square playground is 17.218m

Additional Information

• Area of rectangle = length × breadth
• Perimeter of rectangle = 2(l+b)
• Area of circle = πr²
• Perimeter of circle = 2πr
• Perimeter of square = 4 × side

$\rule{200}3$

Answer 2

$\bf{\underline{\underline \blue{Solution:-}}}$

AnswEr:

• The side of a square playground = 17.218m

Given:

• The area of a square playground is 296.48 square metres.

Need To Find:

• The length of its side correct to three decimal places = ?

$\bf{\underline{\underline \blue{Explanation:-}}}$

Formula used here:

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

Putting the values according to the given formula:

The area of a square playground is 296.48m²........ [Given]

$\longrightarrow \sf {Side \times Side = 296.48}$

$\longrightarrow \sf {Side^2 = 296.48}$

$\longrightarrow \sf {Side = \sqrt{296.48} }$

$\longrightarrow \sf {Side = 17.218m}$

ThereFore:

• The side of a square playground = 17.218m

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$

Some more Information:

What is Area?

• The measure of the surface enclosed by a closed figure is called area.

• Area of rectangle = Length × Breadth
• Area of a square = Side × Side

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$