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  • 25-10-2019
  • Mathematics
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What is the perimeter of a rectangle with sides 2/3x+10 and 1/3x+5

Respuesta :

ranikashyab066 ranikashyab066
  • 25-10-2019

Answer:

The perimeter of the rectangle  is 2x+ 30

Step-by-step explanation:

Sides of the rectangle are 2/3x+10 and 1/3x+5

Now, Perimeter of the Rectangle = 2(Length + Breadth)

Here, sum of the sides = [tex](\frac{2}{3}x + 10 )  + (\frac{1}{3}x + 5 )  = (\frac{2}{3}x +\frac{1}{3}x  )  + ( 10+ 5 )[/tex]

adding like terms with like terms, we get

([tex]\frac{2x + x}{3})  + 15 = \frac{3x}{3}  + 15[/tex]

Hence, Sum = (x + 15)

Now,  2(Length + Breadth)  = 2(x+15) = 2x + 30

hence, the perimeter of the rectangle  = 2x+ 30

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