glenantrin1 glenantrin1
  • 10-07-2018
  • Mathematics
contestada

Which represents a side length of a square that has an area of 450 square inches?

Respuesta :

gmany
gmany gmany
  • 22-07-2018

The formula of an area of a square:


[tex]A=a^2[/tex]


a - a side


We have [tex]A=450\ in^2[/tex]


substitute:


[tex]a^2=450\to a=\sqrt{450}\\\\a=\sqrt{225\cdot2}\\\\a=\sqrt{225}\cdot\sqrt2\\\\\boxed{a=15\sqrt2\ in}[/tex]


Used:

[tex]\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}[/tex]

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