Question

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Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.


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Answer 1

Question:-

Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.

Given:-

• Length of the garden= 4m more than the width.
• Perimeter= 36 m

To find:-

• Breadth of the garden

Solution:-

To find the perimeter:- 2(l+b)

Half the perimeter:-

36m= (l+b)

Let us suppose breadth as x

So as length is 4 m more than breadth, length would be 4x

Perimeter:- Multiplying 2× half perimeter

2×36

72m

Perimeter:- 2(l+b)

Putting respective values

72=2(4+x+x)

72÷2= 4+2x

36= 4+2x

36-4=2x

32= 2x

32÷2= x

x=16

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So we get the breadth i.e. 16m

Length:- x+4= 16+4= 20m

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Answer 2

Answer:

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