kkloucek71731 kkloucek71731
  • 17-03-2022
  • Mathematics
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A square with an area of a2 is enlarged to a square with an area of 25a2. How was the side of the smaller square changed?.

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rspill6
rspill6 rspill6
  • 19-03-2022

Answer:

a went to 5a in the larger square

Step-by-step explanation:

The area of a square with a side m is given by [tex]m^{2}[/tex], since it's sides are all equal.  Thus, a square with area [tex]a^{2}[/tex] has sides of a length.  The larger square has area 25[tex]a^{2}[/tex].  A side is [tex]\sqrt{25a^{2} }[/tex], or 5a.

The side of the smaller square, a, was lengthened by a factor of 5, to 5a.

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