Question

a length of rrctangle is greater than twice its breadth by 4cm. lf the perimeter of the rectangle is 26 cm, find the length and breadth​

Answer 1

Answer:

The length of the rectangle (l) = 10 cm

The breadth of the rectangle (b) = 3 cm

Step-by-step explanation:

Let,

The breadth of the rectangle (b) = x

The length of the rectangle (l) = 2x + 4

The perimeter of the rectangle = 26 cm

★ Perimeter of rectangle = 2 (l + b)

⇒ 2 (l + b) = 26

⇒ 2 (2x + 4 + x) = 26

⇒ 2 ( 3x + 4) = 26

⇒ 6x + 8 = 26

⇒ 6x = 26 - 8

⇒ 6x = 18

⇒ x = 18 / 6

⇒ x = 3

The breadth of the rectangle (b) = 3 cm

The length of the rectangle (l) = 2x + 4

⇒ 2x + 4

⇒ 2 (3) + 4

⇒ 6 + 4

⇒ 10

The length of the rectangle (l) = 10 cm

Therefore,

The length of the rectangle (l) = 10 cm

The breadth of the rectangle (b) = 3 cm

Answer 2

AnswEr :-

• Length of the rectangle = 10cm

• Breadth of the rectangle = 3cm

Given :-

• Length of a rectangle is greater than twice its breadth by 4cm.

• Perimeter of the rectangle is 26cm.

To Find :-

• Length and Breadth of the rectangle.

Solution :-

• Let breadth of the rectangle be x

• Length of the rectangle = 2x + 4

• Perimeter of the rectangle = 26cm

Again,

★ Perimeter of a rectangle = 2( l + b )

➪ 2 (x + 2x + 4) = 26

➪ 2 (3x + 4) = 26

➪ 3x + 4 = 26/2

➪ 3x + 4 = 13

➪ 3x = 13 - 4

➪ 3x = 9

➪ x = 9/3

➪ x =3

☆ Breadth of the rectangle = 3cm

☆ Length of the rectangle = 2×3 + 4 = 10cm