The length of a rectangle is twice the width. if the perimeter is 96 cm, find the length of the rectangle.

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

except a rational number. : )

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