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If the length and breadth of a rectangular plot are increased by 20% and 50% respectively, Then the new area is how many times the original area?
- a)5/8
- b)9/5
- c)3/7
- d)7/3
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If the length and breadth of a rectangular plot are increased by 20% a...
LetL= 100, B = 100 A= 10000
New length = 120, new breadth =150 New Area = 18000
New length = 120, new breadth =150 New Area = 18000
Most Upvoted Answer
If the length and breadth of a rectangular plot are increased by 20% a...
Original length and breadth be l and b
increased will be 1.2 l and 1.5b
original area =l*b
new area =1.2l*1.5b=1.8lb
i.e, new area/original area = 1.8lb/lb=1.8
and 1.8 in fraction is 9/5
increased will be 1.2 l and 1.5b
original area =l*b
new area =1.2l*1.5b=1.8lb
i.e, new area/original area = 1.8lb/lb=1.8
and 1.8 in fraction is 9/5
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Community Answer
If the length and breadth of a rectangular plot are increased by 20% a...
Given: Length and breadth of a rectangular plot are increased by 20% and 50% respectively.
To find: The new area is how many times the original area?
Let the original length of the rectangular plot be L and the original breadth be B.
Original Area = L × B
New length = 1.2L (20% increase in length)
New breadth = 1.5B (50% increase in breadth)
New Area = New length × New breadth
New Area = 1.2L × 1.5B
New Area = 1.8LB
Divide the New area by the Original area to find the ratio of the areas.
New Area / Original Area = (1.8LB) / (LB)
New Area / Original Area = 1.8
Therefore, the new area is 1.8 times the original area.
Hence, the correct option is (b) 9/5.
To find: The new area is how many times the original area?
Let the original length of the rectangular plot be L and the original breadth be B.
Original Area = L × B
New length = 1.2L (20% increase in length)
New breadth = 1.5B (50% increase in breadth)
New Area = New length × New breadth
New Area = 1.2L × 1.5B
New Area = 1.8LB
Divide the New area by the Original area to find the ratio of the areas.
New Area / Original Area = (1.8LB) / (LB)
New Area / Original Area = 1.8
Therefore, the new area is 1.8 times the original area.
Hence, the correct option is (b) 9/5.
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