Question

The area of a square board is 144 sq. m. What is the perimeter of the square board? *​

Answer 1

Answer

$\red\bigstar$ Perimeter of the square board of area 144 m² = 48m.

SOLUTION

Area of a square board = 144m².

Area of a square = a², where a is the side of the square.

⇒ 144 = a²

$\sf \implies a = \sqrt{144}$

⇒ a = 12m.

✳ Therefore, Side of the square board = 12m.

DIAGRAM OF THE SQUARE

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(4,0){2}{\line(0,1){4}}\multiput(0,0)(0,4){2}{\line(1,0){4}}\put(-0.5,-0.5){\bf D}\put(-0.5,4.2){\bf A}\put(4.2,-0.5){\bf C}\put(4.2,4.2){\bf B}\put(1.5,-0.6){\bf\large 12m}\put(4.4,2){\bf\large 12m}\end{picture}$

PERIMETER

Perimeter of a square = 4a , where a is the side of the square.

Here ,

a = 12m.

⇒ Perimeter of the square board = 4 × 12

⇒ Perimeter of the square board = 48m.

Answer 2

Given

• Area of square board = 144 m²

To find

• Perimeter of square board

Solution

• Area of square = 144
• side × side = 144
• s² = 144
• s = √144
• s = 12

Hence, the side of the square is 12 m

Now, let's find the perimeter.

• Perimeter of square = 4 × side
• Perimeter of square = 4 × 12
• Perimeter of square = 48

Hence, the perimeter of square is 48 m

Learn more

• Area of rectangle = Length × Breadth
• Area of triangle = 1/2 × Base × Height
• Area of parallelogram = Base × Height
• Area of circle = π r²
• Perimeter of rectangle = 2(Length + Breadth)
• Perimeter of circle = 2π r