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If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192m2. What is the area of the original rectangle?
- a)184 m2
- b)196 m2
- c)204 m2
- d)225 m2
- e)None of these
Correct answer is option 'E'. Can you explain this answer?
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If the length of a rectangular field is increased by 20% and the bread...
Most Upvoted Answer
If the length of a rectangular field is increased by 20% and the bread...
Let initial length of rectangle be = x, breadth= y.
are(rectangle)= xy
according to question,
length becomes 1.2x
breadth .8y
are(rectangle) will be .96xy
this area of rectangle is 96 % of earlier
then in question 192 = 96% xy
192 * 100/96 = xy
200 m2 = xy (area of rectangle)
hence option e) will be correct answer.
are(rectangle)= xy
according to question,
length becomes 1.2x
breadth .8y
are(rectangle) will be .96xy
this area of rectangle is 96 % of earlier
then in question 192 = 96% xy
192 * 100/96 = xy
200 m2 = xy (area of rectangle)
hence option e) will be correct answer.
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If the length of a rectangular field is increased by 20% and the bread...
Given Information:
The length of the rectangular field is increased by 20% and the breadth is reduced by 20%. The resulting area of the rectangle is 192m2.
Let's solve the problem step by step:
1. Let the original length of the rectangle be L and the original breadth be B.
2. After increasing the length by 20% and reducing the breadth by 20%:
- New Length = L + 0.20L = 1.20L
- New Breadth = B - 0.20B = 0.80B
3. Area of the new rectangle:
- New Area = New Length * New Breadth
= 1.20L * 0.80B
= 0.96LB
4. Given that the new area is 192m2:
- 0.96LB = 192
- LB = 192 / 0.96
- LB = 200
5. Therefore, the area of the original rectangle is:
- Original Area = LB
= 200m2
Conclusion:
The area of the original rectangle is 200m2. Therefore, the correct answer is option 'E' (None of these).
The length of the rectangular field is increased by 20% and the breadth is reduced by 20%. The resulting area of the rectangle is 192m2.
Let's solve the problem step by step:
1. Let the original length of the rectangle be L and the original breadth be B.
2. After increasing the length by 20% and reducing the breadth by 20%:
- New Length = L + 0.20L = 1.20L
- New Breadth = B - 0.20B = 0.80B
3. Area of the new rectangle:
- New Area = New Length * New Breadth
= 1.20L * 0.80B
= 0.96LB
4. Given that the new area is 192m2:
- 0.96LB = 192
- LB = 192 / 0.96
- LB = 200
5. Therefore, the area of the original rectangle is:
- Original Area = LB
= 200m2
Conclusion:
The area of the original rectangle is 200m2. Therefore, the correct answer is option 'E' (None of these).
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If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192m2. What is the area of the original rectangle?a)184 m2b)196 m2c)204 m2d)225 m2e)None of theseCorrect answer is option 'E'. Can you explain this answer?
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