Question

perimeter of rectangle is 15 3/7 . if the length is 4 2/7 .find its breadth

Answer 1

Perimeter = 15 3/7 units (Given)

Length = 4 2/7 (Given)

Find the breadth:

Perimeter = 2 ( Length + Breadth)

Substitute Perimeter = 15 3/7 and Length = 4 2/7 :

15 3/7 = 2 (4 2/7 + Breadth)

Write as improper fraction:

108/7 = 2( 30/7 + Breadth)

Distribute 2:

108/7 = 60/7 + 2Breadth

Subtract 60/7 from both sides:

2Breadth = 108/7  - 60/7

2Breadth = 48/7

Divide both sides by 2:

Breadth = 48/7 ÷ 2

Breadth = 24/7

Change to improper fraction:

Breadth = 3 3/7 units

Answer: Breadth = 3 3/7 units

Answer 2

Given,perimeter of rectangle = 15 3/ 7

=(105 + 3 ) / 7 = 108 / 7 units

length of rectangle = 4 2/ 7

=(28 + 2) / 7 = 30 / 7 units

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we know that perimeter of rectangle

=2 ( length + breadth )
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according to question
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2( length + breadth ) = 108 / 7

2( 30 / 7 + breadth ) = 108 / 7

60 / 7 + 2 × breadth = 108 / 7

2 × breadth = 108 / 7 - 60 / 7

2 × breadth = 48 / 7

breadth = 48 / 2 × 7

breadth = 24 / 7

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convert into mixed fraction
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breadth = 3 3/ 7 units

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Your Answer:
breadth = 3 whole 3/ 7units
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