Question

length of a rectangle is 5m less than twice it's breadth. if the perimetre of the rectangle is 62m find its length and breadth
please answer with explaination

Answer 1

Step-by-step explanation:

Let the breadth of a rectangle be x cm.

Therefore, the length will be 2x−5 cm.

Now, length is decreased by 5 cm i.e., 2x−5−5=2x−10 cm

and breadth is increased by 2 cm, i.e., x+2 cm.

Also given, perimeter =74 cm.

⇒2[2x−10+x+2]=74

⇒ 2[3x−8]=74

⇒ 6x−16=74

⇒ 6x=74+16

⇒ 6x=90

⇒ x=15

Now, length will be =2x−5

=2(15)−5

=30−5

=25 cm.

Therefore, the length and breadth of a rectangle are 25 cm and 15 cm respectively.

Answer 2

Answer:

Step-by-step explanation:

let  breadth of the rectangle be x metres

therefore, length= 2x-5 metres

perimeter of rectangle =2(l+b)

62=2(2x-5+x)

62=2(3x-5)

62=6x-10

6x=62+10

6x=72

x=72/6

x=12metres

therefore breadth= 12 metres

and length=2x-5

                  =2*12-5

                  =24-5

                  =19metres