Question

length of a rectangle is 16cm less than twice it's breadth. if the perimeter of the rectangle is100 cm find its length and breadth.​

Answer 1

Answer:

22 cm

Step-by-step explanation:

Let

• the breadth be b

• Length is 2b - 16

• Perimeter of the rectangle = 2( l + b) = 100 cm

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

=> 3b - 16 = 100/2

=> 3b - 16 = 50

=> 3b = 66

=> b = 22 cm

• length = 2 x 22 - 16 = 44 - 16 = 28 cm

Hence,

• length = 28 cm

and

• breadth = 22 cm

Answer 2

Answer:

given

length = 2x-16 cm

breadth = x cm

perimeter = 100 cm

perimeter of the rectangle = 2(l+b)

2(2x-16+ x )= 100

2(x-16)= 100

2x -32 =100

2x=100+32

2x=132

x=132/2

x=66 cm

length = 2x-16

2(66)-16

132-16

116 cm