Question

11. Length of a rectangle is 16 cm less than twice its breadth. If the perimeter of the
rectangle is 100 cm, find its length and breadth.
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Answer 1

Answer:

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

Step-by-step explanation:

Answer 2

Answer:

28 cm

Step-by-step explanation:

Let breadth of the rectangle is x.

Then its length will be 2x−16.

According to the problem,

2(length+breadth)=100

2(x+2x−16)=100

or, 6x=132

or, x=22.

Then length is

=2x−16

=44−16=28 cm.