Math, asked by jayshree1029, 3 months ago


The ratio of length and breadth of a rectangle is 2:3. If its length is 4 cm, what
will be its breadth? Also, find the perimeter of the rectangle?​

Answers

Answered by harshilmathur15
2

Step-by-step explanation:

Breadth = 4/2 * 3 = 6 cm

Perimeter = 2( 6 + 4)cm = 2(10cm) = 20cm

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Answered by Anonymous
37

Given :-

Ratio of length and breadth of a rectangle = 2 : 3

Length of the rectangle = 4 cm

To Find :-

The breadth of the rectangle.

The perimeter of the rectangle.

Analysis :-

Firstly, we've to find the breadth of the rectangle and in order to find that we've to make an equation accordingly by considering the breadth as a variable.

Then get the value of the variable accordingly.

Next we've to find the perimeter of the rectangle by substituting the values we got in it's respective formula.

Solution :-

We know that,

  • l = Length
  • b = Breadth
  • p = Perimeter

Let the breadth be 'x'.

Given that,

Ratio = 2 : 3

Length (l) = 4 cm

According to the question,

2/4 = 4/x

By transposing,

x = 3/2 × 4

x = 3 × 2

x = 6

Therefore, the breadth of the rectangle is 6 cm.

By the formula,

\underline{\boxed{\sf Perimeter \ of \ a  \ rectangle=2(Length+Breadth)}}

Given that,

Length (l) = 6 cm

Breadth (b) = 4 cm

Substituting their values,

Perimeter = 2(6 + 4)

Perimeter = 2(10)

Perimeter = 20 cm

Therefore, the perimeter of the rectangle is 20 cm.

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