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A garden is 3 meter wide and 4 metre long.There is a pathway that runs along the perimeter inside the garden. If the area of the pathway is half of the area of the garden,then find the width of the pathway.?
Most Upvoted Answer
A garden is 3 meter wide and 4 metre long.There is a pathway that runs...
Given:
- Garden width = 3 meters
- Garden length = 4 meters
- Area of the pathway = 1/2 * Area of the garden
Let's calculate the area of the garden first:
- Area of the garden = Width x Length
- Area of the garden = 3 meters x 4 meters
- Area of the garden = 12 square meters
Next, let's calculate the area of the pathway:
- Area of the pathway = 1/2 * Area of the garden
- Area of the pathway = 1/2 * 12 square meters
- Area of the pathway = 6 square meters
Now, we need to find the width of the pathway:
- Let the width of the pathway be x meters
- Since the pathway runs along the perimeter inside the garden, the outer dimensions of the pathway will be (3+2x) meters and (4+2x) meters
Now, we can set up an equation to find the width of the pathway:
- Area of the pathway = (3+2x)(4+2x) - Area of the garden
- 6 = (3+2x)(4+2x) - 12
- 6 = 12 + 10x + 4x^2 - 12
- 0 = 4x^2 + 10x
- 0 = 2x(2x + 5)
- x = 0 (discard) or x = -5/2 (discard)
Therefore, the width of the pathway is 1.25 meters.
- Garden width = 3 meters
- Garden length = 4 meters
- Area of the pathway = 1/2 * Area of the garden
Let's calculate the area of the garden first:
- Area of the garden = Width x Length
- Area of the garden = 3 meters x 4 meters
- Area of the garden = 12 square meters
Next, let's calculate the area of the pathway:
- Area of the pathway = 1/2 * Area of the garden
- Area of the pathway = 1/2 * 12 square meters
- Area of the pathway = 6 square meters
Now, we need to find the width of the pathway:
- Let the width of the pathway be x meters
- Since the pathway runs along the perimeter inside the garden, the outer dimensions of the pathway will be (3+2x) meters and (4+2x) meters
Now, we can set up an equation to find the width of the pathway:
- Area of the pathway = (3+2x)(4+2x) - Area of the garden
- 6 = (3+2x)(4+2x) - 12
- 6 = 12 + 10x + 4x^2 - 12
- 0 = 4x^2 + 10x
- 0 = 2x(2x + 5)
- x = 0 (discard) or x = -5/2 (discard)
Therefore, the width of the pathway is 1.25 meters.
Community Answer
A garden is 3 meter wide and 4 metre long.There is a pathway that runs...
Area of garden=[2×(l+b)
=[2×(3+4)
=14cm
half of th area =7cm
width of path=7cm
=[2×(3+4)
=14cm
half of th area =7cm
width of path=7cm
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A garden is 3 meter wide and 4 metre long.There is a pathway that runs along the perimeter inside the garden. If the area of the pathway is half of the area of the garden,then find the width of the pathway.?
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A garden is 3 meter wide and 4 metre long.There is a pathway that runs along the perimeter inside the garden. If the area of the pathway is half of the area of the garden,then find the width of the pathway.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A garden is 3 meter wide and 4 metre long.There is a pathway that runs along the perimeter inside the garden. If the area of the pathway is half of the area of the garden,then find the width of the pathway.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A garden is 3 meter wide and 4 metre long.There is a pathway that runs along the perimeter inside the garden. If the area of the pathway is half of the area of the garden,then find the width of the pathway.?.
A garden is 3 meter wide and 4 metre long.There is a pathway that runs along the perimeter inside the garden. If the area of the pathway is half of the area of the garden,then find the width of the pathway.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A garden is 3 meter wide and 4 metre long.There is a pathway that runs along the perimeter inside the garden. If the area of the pathway is half of the area of the garden,then find the width of the pathway.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A garden is 3 meter wide and 4 metre long.There is a pathway that runs along the perimeter inside the garden. If the area of the pathway is half of the area of the garden,then find the width of the pathway.?.
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