Question

The length of rectangul is 2cm more then twice is breadth Peremiter of the rectangle is 82 cm find its length and breadth

Answer 1

Step-by-step explanation:

let the length be x

breath=2x

perimeter of the rectangle= 82cm

2(l+b)= 82cm

2(x+2x) = 82cm

2x + 4x = 82cm

6x = 82cm

x = 82/6

x = 14

breath = 2x =2×14 = 28cm

length = x= 14cm

Answer 2

Length = 28 cm, and breadth = 13 cm

• Step-by-step explanation:

Given:

• The perimeter of the rectangle is 82 cm

To find:

The length and breadth of the rectangle.

So,

From question,

The length of the rectangle is 2 cm more than twice its breadth.

Let the breadth of the rectangle be (p) cm

So,

The length of the rectangle = (2p + 2) cm

• The formula to find the perimeter of the rectangle is

= 2(l + b) units

[In which 'l' is the 'length', and 'b' is the 'breadth' of the retectangle]

So,

⇒ 2(l+b) = 82

⇒ 2[ (2p + 2) + p] = 82

⇒ 2 (3p + 2) = 82

⇒ 3p + 2 = 82 ÷ 2

[By transporting 2 to RHS]

⇒ 3p + 2 = 41

⇒ 3p = 41 - 2

⇒ 3p = 39

⇒ p = 39 ÷ 3

⇒ p = 13

Thus,

• The breadth of the rectangle is  = p cm = 13 cm
• The length of the rectangle is = ( 2p + 2 ) cm = (2*13 + 2) = 26 + 2 = 28 cm