Question

The perimeter of rectangle is 40 cm. The length of
the rectangle is more than double its
baeadth
by
2 find the length and breadth​

Answer 1

Step-by-step explanation:

given perimeter is 40 cm

let the breadth be X

length will be 2x+2

we know that perimeter of rectangle formula is 2(l+b)

2(X+2x+2)=40

2x+4x+4=40

6x+4=40

6x=40-4

6x=54

x=9

therefore breadth =X=9cm

length=2x+2=2(9)+2=18+2=20cm

Answer 2

$\bf\green{QuestioN:-}$

The perimeter of rectangle is 40 cm. The length of  the rectangle is more than double its  breadth  by  2. Find the length and breadth​.

$\bf\red{AnsweR:-}$

GiveN:-

Perimeter of rectangle = 40 cm

Let breadth = x

Then according to the given condition,

Length = 2x + 2

To FinD:-

Length and breadth of the rectangle

SolutioN:-

Perimeter of the rectangle is given as 40 cm.

Length = 2 x + 2

Breadth = x

As we know,

Perimeter = 2 ( l + b )

⇒ 40 cm = 2 ( l + b )

⇒ 40 cm = 2 ( 2x + 2 + x )

⇒ 40 cm = 2 ( 3x + 2 )

⇒ 40 cm = 6x + 4

⇒ 40 - 4 = 6x

⇒ 36 = 6x

$\implies\bf{\dfrac{36}{6}= x}$

$\implies\bf{x=6}$

Therefore x = 6 cm

Then,

Breadth of the rectangle = x = 6 cm

Length of the rectangle = 2x + 2 = 12 + 2 = 14 cm

$\huge{\boxed{\mathtt{Length=14\:cm}}}}}$

$\huge{\boxed{\mathtt{Breadth=6\:cm}}}}}$

VerificatioN:-

Perimeter = 2 ( L + B )

On substituting values,

40 cm = 2 ( 14 + 6 )

40 cm = 2 ( 20 )

40 = 40

LHS = RHS

Hence verified !!

All Done !!☺