What is the percentage increase in the area of a rectangle, if each of its sides is increased by 20%:
Question
What is the percentage increase in the area of a rectangle, if each of its sides is increased by 20%:
Solution
The area of a rectangle is calculated by multiplying its length by its width. If each side is increased by 20%, then the new length is 1.20 times the original length and the new width is 1.20 times the original width.
The new area is then (1.20 * original length) * (1.20 * original width) = 1.44 * original area.
The percentage increase in the area is then (new area - original area) / original area * 100%.
So, the percentage increase in the area is (1.44 * original area - original area) / original area * 100% = 44%.
Therefore, if each side of a rectangle is increased by 20%, the area of the rectangle increases by 44%.
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