math

If the length of a rectangle is increased by 25%, by what percentage should the width of the rectangle be decreased to maintain a constant area ?

a. 5%
b. 10%
c. 15%
d. 20%
e. 25%

please answer and explain

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asked by Thomas
  1. L = Length

    W = Width

    25 % = 25 / 100 = 0.25

    100 % = 100 / 100 = 1

    100 % = 1 + 0. 25 = 1.25

    A = L * W


    1.25 * L * W * n = L * w Divide both sides by L * W

    1.25 n = 1 Divide both sides by 1.25

    n = 1 / 1.25

    n = 0.8

    0.8 = 80 / 100 = 80 %

    100 % - 80 % = 20 %

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    posted by Bosnian

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