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What is the percentage increase in the area of a rectangle, if each of its sides is increased by 20%.
- a)40
- b)42
- c)44
- d)46
Correct answer is option 'C'. Can you explain this answer?
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What is the percentage increase in the area of a rectangle, if each of...
Assume 200 as the initial Area . so, it's L = 20 , B= 10 . The question mentioned that the increase is 20% for both L and B . so, 20% of 20 is 4 and the new L=24 .
20% of 10 is 2 and the new B = 12 .
New Area = 24×12= 288.
288÷200 × 100 = 144 . It means from initial 100 , Are is increased by 44%
20% of 10 is 2 and the new B = 12 .
New Area = 24×12= 288.
288÷200 × 100 = 144 . It means from initial 100 , Are is increased by 44%
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What is the percentage increase in the area of a rectangle, if each of...
To find the percentage increase in the area of a rectangle when each of its sides is increased by 20%, we need to understand the formula for the area of a rectangle and how it changes with the increase in sides.
Formula for the area of a rectangle:
Area = length * width
Let's assume the original length of the rectangle is L and the original width is W. Now, when each side is increased by 20%, the new length would be 1.2L and the new width would be 1.2W.
Calculating the original area:
Area = L * W
Calculating the new area:
New Area = (1.2L) * (1.2W)
= 1.44LW
Difference in the areas:
Difference = New Area - Original Area
= 1.44LW - LW
= 0.44LW
Now, to find the percentage increase, we need to calculate the ratio of the difference in areas to the original area and multiply it by 100.
Percentage Increase = (Difference / Original Area) * 100
= (0.44LW / LW) * 100
= 44%
Therefore, the percentage increase in the area of the rectangle when each of its sides is increased by 20% is 44%. Hence, the correct answer is option 'C'.
Formula for the area of a rectangle:
Area = length * width
Let's assume the original length of the rectangle is L and the original width is W. Now, when each side is increased by 20%, the new length would be 1.2L and the new width would be 1.2W.
Calculating the original area:
Area = L * W
Calculating the new area:
New Area = (1.2L) * (1.2W)
= 1.44LW
Difference in the areas:
Difference = New Area - Original Area
= 1.44LW - LW
= 0.44LW
Now, to find the percentage increase, we need to calculate the ratio of the difference in areas to the original area and multiply it by 100.
Percentage Increase = (Difference / Original Area) * 100
= (0.44LW / LW) * 100
= 44%
Therefore, the percentage increase in the area of the rectangle when each of its sides is increased by 20% is 44%. Hence, the correct answer is option 'C'.
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What is the percentage increase in the area of a rectangle, if each of its sides is increased by 20%.a)40b)42c)44d)46Correct answer is option 'C'. Can you explain this answer?
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