Answer:
the length of the rectangle =32 cm
Step-by-step explanation:
suppose,
The length = l
The width= w
According to question,
l=2w ..........(1)
Given that,
The perimeter of the rectangle 96 cm
So,
2(l+w)=96
=>2(2w+w) =96 [∵ l=2w ]
=>4w+2w= 96
=> 6w =96
=>w=96/6 [Divide both sides by 6]
=>w =16
∴The width of the rectangle =16 cm
so,
l= 2 . 16 [From equation (1)]
∴ l =32
∴The length of the rectangle =32 cm