The length of a rectangle is thriceits breadth. If its perimeter is 60 cm, find the length and the breadth of the rectangle.
Answers
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Step-by-step explanation:
- Let, Breadth = x
- So, length = 3x
- And, Perimeter of rectangle => 2(l+b) => 60 = 2(x+3x) => 60 = 2*4x => 60 = 8x => x =60/8 => x= 7.5 cm
- Therefore, Breadth = 7.5 cm & Length = 3x = 3*7.5 = 22.5 cm
Answered by
2
Answer :
- Breadth = 7.5cm
- Length = 22.5 cm
Given :
- The length of a rectangle is thrice its breadth
- Perimeter is 60cm
To find :
- The length and the breadth of the rectangle
Solution :
- Let the breadth be x
- Let the length be 3x
As we know that,
- Perimeter of rectangle = 2(l + b)
》60 = 2(3x + x)
》3x + x = 60/2
》3x + x = 30
》4x = 30
》x = 30/4
》x = 7.5cm
Hence,
- Breadth = x = 7.5cm
- Length = 3x = 3(7.5) = 22.5cm
Verification :
As we know that,
- Perimeter of rectangle = 2(l + b)
》Perimeter of rectangle = 2(l + b)
》2(7.5 + 22.5)
》2(30)
》60cm
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