The length and breadth of a rectangle are in the ratio 3:2. If the area of the rectangle is 216sq.m, then find the length of the rectangle and also find the perimeter. About the author Adalyn

Step-by-step explanation: Let the dimensions of the Rectange be x Area of Rectangle = l × b 216 m^2 = 3x × 2x 216 m^2 = 6x^2 216/6 = x^2 36 = x^2 6 = x Length = 3x = 3 × 6 = 18 Breadth = 2x = 2 × 6 = 12 Perimeter of Rectangle = 2 ( l + b ) Perimeter of Rectangle = 2 ( 18 + 12 ) Perimeter of Rectangle = 2 × 30 Perimeter of Rectangle = 60 m Hope it helps!! Reply

Answer :- Let the length be 3x and breadth be 2x. We know that, Area = Length × Breadth Substituting the values :- → 216 = 3x × 2x → 216 = 6x² → x² = 216 / 6 → x² = 36 → x = 6 Length = 6 × 3 = 18 m Breadth = 6 × 2 = 12 m → Perimeter = 2 ( Length + Breadth ) → P = 2 ( 18 + 12 ) → P = 2 ( 30 ) → P = 60 Perimeter of rectangle = 60 m Reply

Step-by-step explanation:Let the dimensions of the Rectange be x

Area of Rectangle = l × b

216 m^2 = 3x × 2x

216 m^2 = 6x^2

216/6 = x^2

36 = x^2

6 = x

Length = 3x = 3 × 6 = 18

Breadth = 2x = 2 × 6 = 12

Perimeter of Rectangle = 2 ( l + b )

Perimeter of Rectangle = 2 ( 18 + 12 )

Perimeter of Rectangle = 2 × 30

Perimeter of Rectangle = 60 m

## Hope it helps!!

## Answer :-

Let the length be 3x and breadth be 2x.

We know that,

Area = Length × Breadth

Substituting the values :-

→ 216 = 3x × 2x

→ 216 = 6x²

→ x² = 216 / 6

→ x² = 36

→ x = 6

→ Perimeter = 2 ( Length + Breadth )

→ P = 2 ( 18 + 12 )

→ P = 2 ( 30 )

→ P = 60

## Perimeter of rectangle = 60 m