Question

length of a reactangle is 16cm less than twice its breadth if the perimietre of this reactangle is 100cm find length ansld breadth

Answer 1

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

if breadth = x
then length= 2x-16
perimeter =
$2(2x - 16 + x) = 100 \\ 3x - 16 = 50 \\ 3x = 50 + 16 \\ x = \frac{66}{3 } \\ x = 22$
breadth= 22
length= 2*22-16
= 44-16
= 28