Question

the perimeter of a rectangle is 80 m and its length is one more than twice the breadth.what are the length and breadth.answer must be step by step.​

Answer 1

Answer:

Let the breadth of the rectangle be x metres.

Twice the breadth = 2x metres

One more than twice the breadth = 2x + 1 metres

∴ Length of the given rectangle = 2x + 1 metres

Perimeter of the rectangle = 80 metres (given)

⇒ 2(length + breadth) = 80

⇒ 2(2x + 1 + x) = 80

⇒ 2(3x + 1) = 80 (Transporting 2 to RHS)

⇒ 3x + 1 = 40

⇒ 3x = 40-1

⇒ 3x = 39

⇒x = 13

Hence,

Length of the rectangle = 2x + 1 = 2 × 13 + 1 = 27 metres

Breadth of the rectangle = x = 13 metres

Answer 2

Answer:

27 m

Step-by-step explanation:

let the breadth be x

length = 2x+1

perimeter = 80m

2(l+b) =80m

2(2x+1+x) =80 m

3x+1= 80/2 = 40 m

3x+1=40m

3x=39m

x= 39/3=13metres => breadth

then length => 2x+1 = 2(13)+1 = 26+1 = 27 m

hope this helps