The length of a rectangle is 6 m less than three times its breadth and it's perimeter is 148 m
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Question: The length of a rectangle is 6 m less than three times its breadth and it's perimeter is 148 m ?
Method of Solution:
Let the Breadth be x cm
Then, In this Question It is given that , Length is 6 m less than three times its breadth.
New Breadth : (3x)
Now, According to the Question Statement!
Statement: Length is 6 m less than three times its breadth.
Length = 3x - 6
Now, We know that Perimeter of Rectangle = 2(Length+Breadth)
Perimeter= 2(3x-6+x)
Perimeter= 2(4x-6)
•°• Perimeter = 8x-12
°•° 148 = 8x-12
↪ 148+12 = 8x
↪ 160 = 8x
↪ x = 20
So, Length = 3x-6 ↪ 3(20) -6 ➡ 54 metres
Breadth = x ↪ 20
Method of Solution:
Let the Breadth be x cm
Then, In this Question It is given that , Length is 6 m less than three times its breadth.
New Breadth : (3x)
Now, According to the Question Statement!
Statement: Length is 6 m less than three times its breadth.
Length = 3x - 6
Now, We know that Perimeter of Rectangle = 2(Length+Breadth)
Perimeter= 2(3x-6+x)
Perimeter= 2(4x-6)
•°• Perimeter = 8x-12
°•° 148 = 8x-12
↪ 148+12 = 8x
↪ 160 = 8x
↪ x = 20
So, Length = 3x-6 ↪ 3(20) -6 ➡ 54 metres
Breadth = x ↪ 20
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