Question

the length of a rectangle is twice its breadth and its perimeter is 96 m. the length of the rectangle is​

Answer 1

Answer:

here is your answer

Step-by-step explanation:

given,

l=2b

p=96

2(l+b)=96

2(2b+b)=96

2(3b)=96

6b=96

b=16m

l=2(16)m

l=32m

hope it helps you

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Answer 2

Given :

• Length of rectangle is twice its breadth.
• Perimeter of Rectangle = 96m.

To Find :

• Length of Rectangle.

Solution :

$\longmapsto\tt{Let\:breadth\:be=x}$

If Length of rectangle is twice its breadth.So ,

$\longmapsto\tt{Length=2x}$

$\longmapsto\tt{Perimeter=96m}$

Using Formula :

$\longmapsto\tt\boxed{Perimeter\:of\:Rectangle=2(l+b)}$

Putting Values :

$\longmapsto\tt{96=2(2x+x)}$

$\longmapsto\tt{\cancel\dfrac{96}{2}=2x+x}$

$\longmapsto\tt{48=3x}$

$\longmapsto\tt{x=\cancel\dfrac{48}{3}}$

$\longmapsto\tt\bold{x=16}$

Value of x is 16.

Therefore :

$\longmapsto\tt{Length=2(16)}$

$\longmapsto\tt\bold{32m}$

$\longmapsto\tt\bold{Breadth=16m}$

_______________________

VERIFICATION :

$\longmapsto\tt{96=2(l+b)}$

$\longmapsto\tt{96=2(32+16)}$

$\longmapsto\tt{96=2(48)}$

$\longmapsto\tt\bold{96=96}$

HENCE VERIFIED