Glustics Glustics
  • 08-08-2021
  • Mathematics
contestada

For what values of x will the square and the rectangle is shown below have the
same perimeter?

For what values of x will the square and the rectangle is shown below have the same perimeter class=

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mistressofdark
mistressofdark mistressofdark
  • 08-08-2021

Perimeter of square = Perimeter of rectangle

=> 4(side) = 2(length + width)

=> 4(x+5) = 2[(x+3)+(x+7)]

=> 4(x+5) = 2[x+3+x+7]

=> 4x + 20 = 2x + 6 + 2x + 14

=> 4x + 20 = 4x + 20

=> 4x - 4x + 20 = 20

=> 20 = 20

So, any real number is the solution of this equation. It means that for every real number as x, the perimeter of the square will be same as the perimeter of the rectangle.

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