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

a=32 and b=16

Step-by-step explanation:

O=96

O=2 (a+b)

a=2*b

O=2*3*b=6*b

b=96/6=16

a=32

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