The length of rectangle is 2 cm more than twice its breadth. Perimeter of the rectangle is 82 cm. Find its length and breadth. *
Answers
ANSWER:-
Length=28cm and breadth=13cm
EXPLANATION:-
Let us consider the breadth of the rectangle as 'x'cm.
length=2+2x(2+twice its breadth)
Perimeter of the rectangle=2(l+b)
82cm=2(2+2x+x)
2+2x+x=82/2
2+3x=41
3x=41-2
3x=39
x=39/3
x=13
Therefore,breadth=13cm
length=2+2x=2+2(13)=28cm
HOPE IT HELPS!!..
Given : the length of a rectangle is 2cm more than twice its breadth . perimeter of the rectangle is 82 cm
To Find : length and breadth
Solution:
length of a rectangle is 2cm more than twice its breadth
Let say Breadth = B cm
Length = 2B + 2 cm
Perimeter of rectangle = 2 ( Length + Breadth)
=> Perimeter = 2 (2B + 2 + B)
=> Perimeter = 2 (3B + 2)
Perimeter = 6B + 4 cm
perimeter of the rectangle is 28 cm
=> 6B + 4 = 82
=> 6B = 78
=> B = 13
Length = 2B + 2 = 2 * 13 + 2 = 28
Breadth = 13 cm
Length = 28 cm
Length = 28 cm and Breadth = 13 cm
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