Math, asked by palareema069, 10 months ago

The perimeter of rectangle 20cm .if its length 6cm then it's breath is

Answers

Answered by Anonymous
14

Given :

  • Perimeter of rectangle = 20 cm.
  • Length of rectangle = 6 cm.

To find :

  • Breadth of rectangle.

Solution :

Let the breadth of the rectangle be x cm.

We know,

{\boxed{\bold{Perimeter\: of\: rectangle=2(length+breadth)}}}

  • Perimeter = 20 cm.
  • Length = 6 cm.
  • Breadth = x cm.

According to the question,

\implies\sf{2(6+x)=20}

\implies\sf{6+x=\frac{20}{2}}

\implies\sf{6+x=10}

\implies\sf{x=10-6}

\implies\sf{x=4}

Breadth of the rectangle = 4 cm.

________________________

Verification :

  • Length = 6 cm.
  • Breadth = 4 cm.

Perimeter of rectangle = 20 cm

2(6+4) = 20

→ 2× 10 = 20

→ 20 = 20 ( Verified )

_________________________

Answered by Anonymous
48

\huge\underline\mathrm{SOLUTION:-}

AnswEr:

  • The breadth of the rectangle = 4 cm.

Given:

  • Perimeter of rectangle = 20 cm.
  • Length of rectangle = 6 cm.

Need To find:

  • Breadth of rectangle = ?

ExPlanation:

  • Perimeter of the rectangle = 20 cm. [Given]

We know that,

  • Formula to finding the perimeter of rectangle = 2 ( length + breadth)

So,

We have to apply it because we have to find it's breadth.

Now,

It is Given that,

  • Perimeter = 20 cm.
  • Length = 6 cm.
  • Breadth = ?

Let the breadth of the rectangle be x cm.

Substituting the values in the above formula, we get,

20 = 2( 6 + x)

20 = 12 + 2x

Or, 12 + 2x = 20

2x = 20 - 12

2x = 8

x = 8/2

x = 4

Now, We know that value of x = 4.

ThereFore:

  • The breadth of the rectangle is 4 cm.

\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}

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