VaaniE4051 VaaniE4051
  • 03-11-2022
  • Mathematics
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The rectangle below has an perimeter of 50 units.2x - 2What is the length, in units, of the shorter side?

The rectangle below has an perimeter of 50 units2x 2What is the length in units of the shorter side class=

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LaurieA477706 LaurieA477706
  • 03-11-2022

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(length + width)

From the diagram,

length = 2x - 2

width = x

Perimeter = 50

Thus,

50 = 2(2x - 2 + x)

Dividing both sides of the equation by 2, it becomes

50/2 = 2x + x - 2

25 = 3x - 2

3x = 25 + 2 = 27

x = 27/3

x = 9

The length of the shorter side is 9

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