Question

Length of a rectangle is 2 CM more than twice its breath. If the perimeter of a rectangle is 34 cm, Find its length and breath​

Answer 1

Answer:

LENGTH= 12cm BREADTH= 5cm

Step-by-step explanation:

Let the breadth = x cm

thus length = 2x+2 cm

perimeter of a rectangle = 2(length+breadth)

According to the question:

2(x+(2x+2)) cm = 34 cm

2(x+2x+2) cm=34 cm

2(3x+2) cm=34 cm

6x+4= 34 cm

6x= 34 cm - 4 cm

6x= 30 cm

x= 5cm.

LENGTH= 2x+2 cm= 10+ 2 cm = 12cm.

LENGTH= 2x+2 cm= 10+ 2 cm = 12cm.BREADTH= x cm= 5cm

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Answer 2

Step-by-step explanation:

Let,

The breadth of the rectangle be x

The length of the rectangle = 2x + 2

The perimeter of a rectangle is 34 cm

The perimeter of a rectangle = 2 (length + breadth)

★ According to the Question :

⇒ 34 = 2 [(2x + 2) + x]

⇒ 34 = 2 (3x + 2)

⇒ 34 = 6x + 4

⇒ 34 - 4 = 6x

⇒ 30 = 6x

⇒ x = 30/6

⇒ x = 5

The breadth of the rectangle = 5 cm

• The length of the rectangle = 2x + 2

⇒ 2 (5) + 2

⇒ 10 + 2

⇒ 12

The length of the rectangle = 12 cm

Therefore, The length and the breadth of the rectangle is 12 cm and 5 cm respectively.