Math, asked by queen12339, 11 months ago

If the length and breadth of a rectangal are in the ratio 3:2 and its perimeter is 20 cm ,then the area of the rectangal,(in cm2 ) is​

Answers

Answered by palakhkoyalkar06
2

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Answered by Sauron
6

Answer:

The Area of the rectangle is 24 cm².

Step-by-step explanation:

Given :

Ratio of the length to breadth = 3 : 2

Perimeter of the rectangle = 20 cm

To find :

Rectangle's area

Solution :

Let the dimensions be -

  • Length as 3x
  • Breadth as 2x

Perimeter = 2(Length + Breadth)

⇒ 2(3x + 2x) = 20

⇒ 6x + 4x = 20

⇒ 10x = 20

⇒ x = \tt{\dfrac{20}{10}}

⇒ x = 2

\rule{300}{1.5}

Value of 3x

⇒ 3(2)

⇒ 6

Length = 6 cm

\rule{300}{1.5}

Value of 2x

⇒ 2(2)

⇒ 4

Breadth = 4 cm

\rule{300}{1.5}

Area = Length × Breadth

  • Length = 6 cm
  • Breadth = 4 cm

⇒ 6 × 4

⇒ 24 cm²

\therefore The Area of the rectangle is 24 cm².

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