crazysister05 crazysister05
  • 21-01-2020
  • Mathematics
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A square has a side that is (x-3) units long. If the area of the square is 126.5625 sq units, what is the value of x?

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opudodennis
opudodennis opudodennis
  • 27-01-2020

Answer:

14.25 units

Step-by-step explanation:

Area of a square= [tex]l*b= (x-3)(x-3)=x^{2}-3x-3x+9=x^{2}-6x+9[/tex]

[tex]x^{2}-6x+9=126.5625[/tex]

[tex]x^{2}-6x-117.5625[/tex]

Solving the equation using quadratic equation then as attached

x=14.25 units

To prove

x-3=14.25-3= 11.25 units

area=11.25*11.25=126.5625 sq units

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