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The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:40 %42 %44 %48 %

Question

The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:

  • 40 %
  • 42 %
  • 44 %
  • 48 %
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Solution

The area of a rectangle is calculated by multiplying its length by its width. If each side is increased by 20%, the new length will be 1.2 times the original length and the new width will be 1.2 times the original width.

So, the new area will be (1.2 * original length) * (1.2 * original width) = 1.44 * original area.

The increase in area is therefore 1.44 - 1 = 0.44 or 44%.

So, the percentage increase in the area of the rectangle is 44%.

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