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The length of rectangular swimming pool is 5 m more than two times it's breadth. Find length and breadth of the pool if its perimeter is 160 m.?
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The length of rectangular swimming pool is 5 m more than two times it'...
Problem:
The length of a rectangular swimming pool is 5 m more than two times its breadth. Find the length and breadth of the pool if its perimeter is 160 m.
Solution:
Let's assume the breadth of the pool to be 'b' meters.
According to the given information, the length of the pool is 5 m more than two times its breadth, which can be expressed as:
Length = 2b + 5 meters
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (Length + Breadth)
Step 1: Write the given information
- Breadth of the pool = b meters
- Length of the pool = 2b + 5 meters
- Perimeter of the pool = 160 meters
Step 2: Write the formula for perimeter
Perimeter = 2 * (Length + Breadth)
Step 3: Substitute the given values into the formula
160 = 2 * (2b + 5 + b)
Step 4: Simplify the equation
160 = 2 * (3b + 5)
160 = 6b + 10
6b = 160 - 10
6b = 150
Step 5: Solve for 'b'
Divide both sides of the equation by 6:
b = 150 / 6
b = 25
Step 6: Substitute the value of 'b' into the equation for length
Length = 2b + 5
Length = 2 * 25 + 5
Length = 55
Step 7: Check if the values satisfy the perimeter equation
Perimeter = 2 * (Length + Breadth)
Perimeter = 2 * (55 + 25)
Perimeter = 2 * 80
Perimeter = 160
Answer:
The length of the rectangular swimming pool is 55 meters and the breadth is 25 meters.
The length of a rectangular swimming pool is 5 m more than two times its breadth. Find the length and breadth of the pool if its perimeter is 160 m.
Solution:
Let's assume the breadth of the pool to be 'b' meters.
According to the given information, the length of the pool is 5 m more than two times its breadth, which can be expressed as:
Length = 2b + 5 meters
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (Length + Breadth)
Step 1: Write the given information
- Breadth of the pool = b meters
- Length of the pool = 2b + 5 meters
- Perimeter of the pool = 160 meters
Step 2: Write the formula for perimeter
Perimeter = 2 * (Length + Breadth)
Step 3: Substitute the given values into the formula
160 = 2 * (2b + 5 + b)
Step 4: Simplify the equation
160 = 2 * (3b + 5)
160 = 6b + 10
6b = 160 - 10
6b = 150
Step 5: Solve for 'b'
Divide both sides of the equation by 6:
b = 150 / 6
b = 25
Step 6: Substitute the value of 'b' into the equation for length
Length = 2b + 5
Length = 2 * 25 + 5
Length = 55
Step 7: Check if the values satisfy the perimeter equation
Perimeter = 2 * (Length + Breadth)
Perimeter = 2 * (55 + 25)
Perimeter = 2 * 80
Perimeter = 160
Answer:
The length of the rectangular swimming pool is 55 meters and the breadth is 25 meters.
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The length of rectangular swimming pool is 5 m more than two times it's breadth. Find length and breadth of the pool if its perimeter is 160 m.?
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The length of rectangular swimming pool is 5 m more than two times it's breadth. Find length and breadth of the pool if its perimeter is 160 m.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The length of rectangular swimming pool is 5 m more than two times it's breadth. Find length and breadth of the pool if its perimeter is 160 m.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of rectangular swimming pool is 5 m more than two times it's breadth. Find length and breadth of the pool if its perimeter is 160 m.?.
The length of rectangular swimming pool is 5 m more than two times it's breadth. Find length and breadth of the pool if its perimeter is 160 m.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The length of rectangular swimming pool is 5 m more than two times it's breadth. Find length and breadth of the pool if its perimeter is 160 m.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of rectangular swimming pool is 5 m more than two times it's breadth. Find length and breadth of the pool if its perimeter is 160 m.?.
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