Answer:
L = 29.6 cm
Step-by-step explanation:
Let Length be L and Breadth be B
Condition 1:
[tex]2(Length)+2(Breadth) = Perimeter[/tex]
Where Perimeter = 296 cm
=> 2L + 2B = 296
=> 2(L+B) = 296
Dividing both sides by 2
=> L + B = 148 ------------------(1)
Condition 2:
=> B = [tex]\frac{2}{3} L[/tex] -------------------------(2)
Putting Equation 2 in 1
=> L + [tex]\frac{2}{3} L[/tex] = 148
Multiplying both sides by 3
=> 3L + 2L = 148
=> 5L = 148
=> L = 148/5
=> L = 29.6 cm
