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Length and breadth of a rectangle are increased by 40% and 70% respectively. What will be the percentage increase in the area of the rectangle?
 
  • a)
    118
  • b)
    110
  • c)
    138
  • d)
    128
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Length and breadth of a rectangle are increased by 40% and 70% respect...
Let Length and breadth of rectangle be a and b respectively
Initial area = length × Breadth = ab
New length = a + 40% of a = 1.4a
New breadth = b + 70% of b = 1.7b
New area = (1.4a) × (1.7b) = 2.38ab
∴ Required % = {(2.38ab – ab/ab} × 100 = 138%
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Most Upvoted Answer
Length and breadth of a rectangle are increased by 40% and 70% respect...
Increase in Length: 40%
Increase in Breadth: 70%

To calculate the percentage increase in the area of the rectangle, we need to find the new area and compare it with the original area.

Let's assume the original length of the rectangle is L and the original breadth is B.

New Length = L + (40/100)L = (5/2)L
New Breadth = B + (70/100)B = (7/10)B

To find the new area, we multiply the new length by the new breadth:

New Area = (5/2)L * (7/10)B = (35/20)LB = (7/4)LB

Percentage Increase in Area = (New Area - Original Area) / Original Area * 100

Let's calculate the original area first.
Original Area = L * B

Now, let's calculate the new area.
New Area = (7/4)LB

Percentage Increase in Area = [(7/4)LB - LB] / LB * 100
= (3/4)LB / LB * 100
= (3/4) * 100
= 75%

Therefore, the percentage increase in the area of the rectangle is 75%.
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Length and breadth of a rectangle are increased by 40% and 70% respectively. What will be the percentage increase in the area of the rectangle?a)118b)110c)138d)128Correct answer is option 'C'. Can you explain this answer?
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