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The length and breadth of a rectangular hall in a model are 0.4 m and 30 cmrespectively. What is the distance between the opposite corners of the wall in the model?
- a)34.16m
- b)50m
- c)34.16 cm
- d)50cm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The length and breadth of a rectangular hall in a model are0.4mand30cm...
Distance between two opposite corners
= 
= 50cm
= 50cmMost Upvoted Answer
The length and breadth of a rectangular hall in a model are0.4mand30cm...
Understanding the Problem
To find the distance between the opposite corners of a rectangular hall in a model, we will use the Pythagorean theorem. This theorem states that in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
Dimensions of the Hall
- Length: 0.4 m (which is equal to 40 cm since 1 m = 100 cm)
- Breadth: 30 cm
Calculating the Diagonal
To find the distance (diagonal) between opposite corners, we consider the length and breadth as the two sides of a right triangle:
- Hypotenuse (Diagonal) = √(Length² + Breadth²)
Substituting the Values
- Length = 40 cm
- Breadth = 30 cm
Now we can calculate:
- Diagonal = √(40² + 30²)
- Diagonal = √(1600 + 900)
- Diagonal = √2500
- Diagonal = 50 cm
Conclusion
The distance between the opposite corners of the hall in the model is 50 cm.
Thus, the correct answer is option 'D' (50 cm).
To find the distance between the opposite corners of a rectangular hall in a model, we will use the Pythagorean theorem. This theorem states that in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
Dimensions of the Hall
- Length: 0.4 m (which is equal to 40 cm since 1 m = 100 cm)
- Breadth: 30 cm
Calculating the Diagonal
To find the distance (diagonal) between opposite corners, we consider the length and breadth as the two sides of a right triangle:
- Hypotenuse (Diagonal) = √(Length² + Breadth²)
Substituting the Values
- Length = 40 cm
- Breadth = 30 cm
Now we can calculate:
- Diagonal = √(40² + 30²)
- Diagonal = √(1600 + 900)
- Diagonal = √2500
- Diagonal = 50 cm
Conclusion
The distance between the opposite corners of the hall in the model is 50 cm.
Thus, the correct answer is option 'D' (50 cm).
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The length and breadth of a rectangular hall in a model are0.4mand30cmrespectively. What is the distance between the opposite corners of the wall in the model?a)34.16mb)50mc)34.16cmd)50cmCorrect answer is option 'D'. Can you explain this answer?
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