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The breadth of a rectangular hall is 4/5 of its length. If the area of the floor is 500 m2, then what is the difference (in meters) between the length and breadth of the hall?
- a)5
- b)10
- c)20
- d)15
Correct answer is option 'A'. Can you explain this answer?
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The breadth of a rectangular hall is 4/5 of its length. If the area o...
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Area of the floor of rectangular hall = 500 m2
Formula:
Area of the rectangle = length × breadth
Let the length of the rectangular hall be 5x.
Breadth of the rectangular hall
According to the question
5x × 4x = 500
⇒ 20x2 = 500
⇒ x2 = 500/20
⇒ x2 = 25
⇒ x = 5
Difference between length and breadth = 5x – 4x = x = 5
Hence, the correct option is (A).
Most Upvoted Answer
The breadth of a rectangular hall is 4/5 of its length. If the area o...
Given, the area of the rectangular hall = 500 m²
Let the length of the hall be L meters
Then, the breadth of the hall = 4/5 of L meters = (4/5)L meters
Area of the hall = Length × Breadth
= L × (4/5)L
= 4L²/5
As per the question, 4L²/5 = 500
⇒ L² = 500 × 5/4 = 625
⇒ L = 25 meters
Therefore, the breadth of the hall = (4/5)L = (4/5) × 25 = 20 meters
The difference between the length and breadth of the hall is L - (4/5)L = (1/5)L
= (1/5) × 25 = 5 meters
Hence, the correct answer is option A) 5.
Let the length of the hall be L meters
Then, the breadth of the hall = 4/5 of L meters = (4/5)L meters
Area of the hall = Length × Breadth
= L × (4/5)L
= 4L²/5
As per the question, 4L²/5 = 500
⇒ L² = 500 × 5/4 = 625
⇒ L = 25 meters
Therefore, the breadth of the hall = (4/5)L = (4/5) × 25 = 20 meters
The difference between the length and breadth of the hall is L - (4/5)L = (1/5)L
= (1/5) × 25 = 5 meters
Hence, the correct answer is option A) 5.
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The breadth of a rectangular hall is 4/5 of its length. If the area of the floor is 500 m2, then what is the difference (in meters) between the length and breadth of the hall?a)5b)10c)20d)15Correct answer is option 'A'. Can you explain this answer?
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