Increase the width of the rectangle by 25%. How many percent should the length of the rectangle be reduced

Increase the width of the rectangle by 25%. How many percent should the length of the rectangle be reduced so that its area does not change.

a – length, b – width
S = a * b – was
S = 1.25b * X * a – became
X is what you need to multiply the length so that the area does not change.
It turns out:
a * b = 1.25X * a * b
1 = 1.25X
X = 0.8
0.8 = 20%
Answer: 20%



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