Perimeter of a parallelogram is 109 cm. If length is greater than the breadth by 5.5 cm, then the length and breadth respectively is __________
Answers
Given :
Perimeter of parallelogram = 109cm
Length of parallelogram is greater than breadth by 5.5cm
To find :
Length of parallelogram
Breadth of parallelogram
Formula used :
Perimeter of parallelogram = 2(l+b)
Here,
l = length
b = breadth
Solution :
Let - Breadth of parallelogram = x
According to the question,
➝ Length of parallelogram is greater than breadth by 5.5cm
➩ Length of parallelogram = x + 5.5cm
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➝ Perimeter of parallelogram = 2(l+b)
➩ 109cm = 2[ (x+5.5cm) + x ]
➩ 109cm/2 = x + 5.5cm + x
➩ 54.5cm = 2x + 5.5cm
➩ 2x = 54.5cm - 5.5cm
➩ 2x = 49cm
➩ x = 49cm/2
➩ x = 24.5cm
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➝ Breadth of parallelogram = x = 24.5 cm
➝ Length of parallelogram = x + 5.5cm
➩ Length of parallelogram = 24.5 + 5.5
➩ Length of parallelogram = 30cm
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ANSWER :
- Length of parallelogram = 30cm
- Breadth of parallelogram = 24.5cm