Question 313246
Length = x
Width = x + 2
Length x Width = x x (x + 2) = 24
x^2 + 2x = 24
x^2 + 2x - 24 = 0
( x - 4) ( x + 6 ) = 0
x = 4 cm
Length = 4 cm
Width = 4 + 2 = 6 cm

Check :
1) 4 + 2 = 6
2) 4 x 6 = 24

Perimeter = 2 ( Length + width )
= 2 ( 4 + 6 )
= 2 ( 10 )
= 20 cm.