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The ratio between the length and breadth of a rectangular field is 5 ∶ 4. If the breadth is 20 metres less than the length, the perimeter of the field is:
- a)280 m
- b)260 m
- c)360 m
- d)410 m
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The ratio between the length and breadth of a rectangular field is 5 ...
Given:
The ratio between the length and breadth of a rectangular field is 5 ∶ 4.
The breadth is 20 metres less than the length.
Concept used:
Perimeter of a rectangle = 2(Length + Breadth)
Calculation:
Let the length and breadth of the field be 5q and 4q meter respectively.
According to the question,
5q - 4q = 20
⇒ q = 20
Length = 5 × 20 = 100m
Breadth = 4 × 20 = 80m
Now, the perimeter of the field = 2(100 + 80)
⇒ 360m
∴ The perimeter of the field is 360m.
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The ratio between the length and breadth of a rectangular field is 5 ...
Given information:
- The ratio between the length and breadth of the rectangular field is 5 ∶ 4.
- The breadth is 20 metres less than the length.
To find:
The perimeter of the rectangular field.
Solution:
Let's assume the length of the field as 5x, where x is a common factor.
According to the given ratio, the breadth of the field will be 4x.
It is also given that the breadth is 20 meters less than the length.
So, we can write the equation as:
5x - 4x = 20
Simplifying the equation, we get:
x = 20
Now, substituting the value of x in the length and breadth, we get:
Length = 5x = 5 * 20 = 100 meters
Breadth = 4x = 4 * 20 = 80 meters
Perimeter of a rectangle = 2 * (Length + Breadth)
Substituting the given values, we get:
Perimeter = 2 * (100 + 80) = 2 * 180 = 360 meters
Hence, the correct answer is option C) 360 m.
- The ratio between the length and breadth of the rectangular field is 5 ∶ 4.
- The breadth is 20 metres less than the length.
To find:
The perimeter of the rectangular field.
Solution:
Let's assume the length of the field as 5x, where x is a common factor.
According to the given ratio, the breadth of the field will be 4x.
It is also given that the breadth is 20 meters less than the length.
So, we can write the equation as:
5x - 4x = 20
Simplifying the equation, we get:
x = 20
Now, substituting the value of x in the length and breadth, we get:
Length = 5x = 5 * 20 = 100 meters
Breadth = 4x = 4 * 20 = 80 meters
Perimeter of a rectangle = 2 * (Length + Breadth)
Substituting the given values, we get:
Perimeter = 2 * (100 + 80) = 2 * 180 = 360 meters
Hence, the correct answer is option C) 360 m.
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The ratio between the length and breadth of a rectangular field is 5 ∶ 4. If the breadth is 20 metres less than the length, the perimeter of the field is:a)280 mb)260 mc)360 md)410 mCorrect answer is option 'C'. Can you explain this answer?
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