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Half the perimeter of a rectangular garden,whose length is 4m more than its width,is 36m. find the dimensions of the garden?
Most Upvoted Answer
Half the perimeter of a rectangular garden,whose length is 4m more tha...
Formula of Perimeter=2(l+b)
half perimeter= 36m=( l+b)
let breadth= x
Length= 4x
now

perimeter= 2×36=72m
perimeter= 2(l+b)
72=2(4+x+x)
36=4+2x
36-4= 2x
32=2x
32/2=x
16=x
breadth=16
length= x+4=16+4=20

I hope it helps you :)
Community Answer
Half the perimeter of a rectangular garden,whose length is 4m more tha...


Understanding the Problem:
- The problem states that half the perimeter of a rectangular garden is 36m.
- The length of the garden is 4m more than its width.

Let's solve the problem step by step:

Step 1: Expressing the Perimeter in terms of Length and Width
- Let the width of the garden be x meters.
- Since the length is 4m more than the width, the length = x + 4 meters.
- The perimeter of a rectangle is given by P = 2(length + width).
- Therefore, the perimeter of the garden = 2(x + 4 + x) = 2(2x + 4) = 4x + 8 meters.

Step 2: Half the Perimeter is 36m
- Half the perimeter is 36m, so half the perimeter = 4x + 8 = 36.
- Solving for x, we get 4x = 36 - 8 = 28.
- Therefore, x = 28 / 4 = 7.
- So, the width of the garden is 7 meters.

Step 3: Finding the Length
- The length of the garden = x + 4 = 7 + 4 = 11 meters.

Step 4: Final Answer
- Therefore, the dimensions of the garden are:
- Width = 7 meters
- Length = 11 meters

Conclusion:
- The dimensions of the rectangular garden are 7 meters (width) and 11 meters (length).
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