Math, asked by PalakIAS, 4 months ago

the perimeter of a square in20 cm.find its area​

Answers

Answered by jackzzjck
5

Answer:-

\red\bigstar Area of the Square = 25 cm².

SOLUTION

Given:-

Perimeter of a Square = 20cm.

To Find:-

The area of the Square

ANSWER

We know the equation for the perimeter of a square .

Perimeter of a square = 4a (where a is the side of the Square)

Here,

Perimeter = 20cm.

\implies

4a = 20

\implies

\sf a = \dfrac{20}{4} = 5cm.

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 5\ cm}\put(4.4,2){\bf\large 5\ cm}\end{picture}

 AREA  

Area of Square = a² (where a is the side of the Square)

Here,

a = 5

\sf \implies

Area of the square = 5²

∴ Area of the square = 25 cm².

Answered by WaterPearl
33

Correct Question:-

The perimeter of the square is 20 cm.Find its area.

Concept:-

Here we have given that the perimeter of a square is 20 cm.And we have to find the area of square.So,We know that the area of square is a².

Let's Find the area of square.

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Given:-

  • The perimeter of the square is 20 cm.

To Find:-

  • The area of square square.

Diagram of 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 5\ cm}\put(4.4,2){\bf\large 5\ cm}\end{picture}

[Note : Kindly see this square diagram in Web browser.](Brainly.in)

Solution:-

We know that the area of square is a².

And the perimeter of square is 4a.

Let's Find

Perimeter

Perimeter of the square = 20 cm.

 : \longrightarrow{ \sf{4a = 20cm}} \\  \\

 \sf{a =  \frac{20}{4}} \\  \\

 \sf{ = 5cm}

Area

a = 5

= 5²

Hence,the area of the square is 25².

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