Multiple choice

What will be the percentage change in the area of a rectangle if its length is decreased by 5% and breadth is increased by 5%?

  1. 0.25%

  2. 0.8%

  3. 1.25%

  4. 2.25%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Area = L * B. New Area = (0.95L) * (1.05B) = 0.9975 * L * B. The change is 1 - 0.9975 = 0.0025, which is 0.25% decrease.

AI explanation

When the two dimensions of a rectangle change by percentages a and b, the net percentage change in area is given by the formula a plus b plus (a multiplied by b) divided by 100. Substituting a as negative 5 and b as 5, we get negative 5 plus 5 plus (negative 25 divided by 100). This results in a percentage decrease of 0.25%.

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