JadielW326218 JadielW326218
  • 25-10-2022
  • Mathematics
contestada

if the surface area of the image is 72 and the scale factor of sides is 3 then what is the surface area of the original figure

if the surface area of the image is 72 and the scale factor of sides is 3 then what is the surface area of the original figure class=

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AmelioG53748 AmelioG53748
  • 25-10-2022

When two objects are similar then the area scale factor is given by

[tex]\frac{\text{ scaled figure}}{\text{original figure}}=3^2=9[/tex]

So, we have

[tex]\text{ original figure =}\frac{\text{ scaled figure}}{\text{9}}[/tex]

By substituting the given values, we have

[tex]\text{ original figure =}\frac{\text{ 7}2}{\text{9}}[/tex]

Therefore, the surface area of the original figure is 8 square units

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