Question

Length of a rectangle is 16 cm less than twice its breadth. Of the perimeter of the rectangle is 100 cm, find its length and breadth. ​

Answer 1

Answer:length=28cm

breadth=22cm

Step-by-step explanation:

perimeter=100cm

let breadth be x

so, length=2x-16cm

perimeter of rectangle = 2*(l+b)

100cm = 2*(2x-16+x)

100/2 = 3x-16

50=3x-16

50+16=3x

66=3x

66/3=x

x=22

breadth=x=22cm

length=2x-16=44-16

          =28cm

Answer 2

Answer:

Length of rectangle is 28 and breadth is 22

Step-by-step explanation:

Let length be x

and breadth be y

Given,

length of rectangle is 16 less than twice its breadth = x = 2y - 16

perimeter of rectangle = 100 cm

As we know perimeter of rectangle = 2 ( l + b) = 100

=> 2 ( x + y ) = 100

=> 2 ( 2y - 16 + y ) = 100

=> 2 ( 3y - 16) = 100

=> 3y - 16 = 100/2 = 50

=> 3y = 50 + 16

=> y = 66/3

=> y = 22

Length = 2y - 16

=> 2 * 22 - 16

=> 44 - 16

=> 28

verification:-

Put value of length and breadth

=> 2(l+b)

=> 2 ( 28 + 22)

=> 2 ( 50)

=> 100 cm