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The length and breadth of the rectangle are 3:2 . If the perimeter is 145m , find the length and breadth of the rectangle?
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The length and breadth of the rectangle are 3:2 . If the perimeter is ...
Problem:
The length and breadth of a rectangle are in the ratio of 3:2. If the perimeter is 145m, find the length and breadth of the rectangle.
Given:
Ratio of length to breadth = 3:2
Perimeter = 145m
Solution:
Step 1: Define the variables:
Let's assume that the length of the rectangle is 3x and the breadth is 2x. Here, x is a common factor.
Step 2: Write the formula for the perimeter of a rectangle:
Perimeter of a rectangle = 2 × (length + breadth)
Step 3: Substitute the given values into the formula:
145 = 2 × (3x + 2x)
Simplify the equation:
145 = 2 × 5x
145 = 10x
Step 4: Solve for x:
To find the value of x, we need to divide both sides of the equation by 10:
145/10 = x
x = 14.5
Step 5: Find the length and breadth:
Now that we know the value of x, we can substitute it back into the expressions for length and breadth:
Length = 3x = 3 × 14.5 = 43.5m
Breadth = 2x = 2 × 14.5 = 29m
Answer:
The length of the rectangle is 43.5m and the breadth is 29m.
The length and breadth of a rectangle are in the ratio of 3:2. If the perimeter is 145m, find the length and breadth of the rectangle.
Given:
Ratio of length to breadth = 3:2
Perimeter = 145m
Solution:
Step 1: Define the variables:
Let's assume that the length of the rectangle is 3x and the breadth is 2x. Here, x is a common factor.
Step 2: Write the formula for the perimeter of a rectangle:
Perimeter of a rectangle = 2 × (length + breadth)
Step 3: Substitute the given values into the formula:
145 = 2 × (3x + 2x)
Simplify the equation:
145 = 2 × 5x
145 = 10x
Step 4: Solve for x:
To find the value of x, we need to divide both sides of the equation by 10:
145/10 = x
x = 14.5
Step 5: Find the length and breadth:
Now that we know the value of x, we can substitute it back into the expressions for length and breadth:
Length = 3x = 3 × 14.5 = 43.5m
Breadth = 2x = 2 × 14.5 = 29m
Answer:
The length of the rectangle is 43.5m and the breadth is 29m.
Community Answer
The length and breadth of the rectangle are 3:2 . If the perimeter is ...
Length =43.5
Breadth =29
Breadth =29
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The length and breadth of the rectangle are 3:2 . If the perimeter is 145m , find the length and breadth of the rectangle?
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The length and breadth of the rectangle are 3:2 . If the perimeter is 145m , find the length and breadth of the rectangle? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about The length and breadth of the rectangle are 3:2 . If the perimeter is 145m , find the length and breadth of the rectangle? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length and breadth of the rectangle are 3:2 . If the perimeter is 145m , find the length and breadth of the rectangle?.
The length and breadth of the rectangle are 3:2 . If the perimeter is 145m , find the length and breadth of the rectangle? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about The length and breadth of the rectangle are 3:2 . If the perimeter is 145m , find the length and breadth of the rectangle? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length and breadth of the rectangle are 3:2 . If the perimeter is 145m , find the length and breadth of the rectangle?.
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