The length of a rectangle is twice its breadth; if the perimeter of the rectangle is 36 cm, find the length of the rectangle.
Answers
Answer:
Step-by-step explanation:
Given l=2b
P= 36
2(l+b)=36
I+b=36/2=18
2b+b=18
3b=18
B=18/3=6cm
L=2(6)=12cm
Question:-
The length of a rectangle is twice its breadth; if the perimeter of the rectangle is 36 cm, find the length of the rectangle.
Solution:-
Given:- a) The length of a rectangle is twice its breadth.
b) The perimeter of the rectangle is
36cm.
Formula:-
=> Perimeter of rectangle = 2 ( L + B )
So now,
From given ( a )
=> L (Length) = 2 × B (Breadth) ...( 1 )
=> Perimeter of rectangle
= 2 ( L + B )
{ From ( 1 ) & ( b) }
=> 36 = 2 ( 2B + B )
=> 36 = 2 ( 3B )
=> 36 = 6B i.e.
=> 6B = 36
=> B = 36/6
=> B (Breadth) = 6 cm
Put value B (Breadth) in ( 1 )
=> L (Length) = 2 × B (Breadth)
=> L (Length) = 2 × 6
=> L (Length) = 12 cm
Hence Length and Breadth of rectangle are 12 cm & 6 cm respectively.
i hope it helps you.