contestada

the width to length of a rectangle is 2:3 the width is increased by 25 percent by what percent should the length be changed to kepp the area the same

Respuesta :

sqdancefan

Answer:

  • reduced 20%

Step-by-step explanation:

You want to know the required change in length of a rectangle to keep the area the same if the width is increased 25%.

Area

The area of a rectangle is the product of length and width. If we want the area the same, the new length will be L', where ...

  LW = (1.25W)(L')

  1 = 1.25(L'/L)

  L'/L = 1/1.25 = 0.80 = 1 -.20

The length should be reduced by 20% to keep the area the same.

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Additional comment

The aspect ratio of the rectangle is immaterial. This is true for any aspect ratio.

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