Respuesta :
The side of the original square is 2.5 inches
Define square.
In geometry, a square is a flat shape with four equal sides and four right angles (90°). A square is an unique sort of parallelogram as well as an equilateral rectangle (an equilateral and equiangular one).
Let side of a square be x
The area of this square will be [tex]x^{2}[/tex]
The second square has a side that has 5 more,
Therefore, side of second square= x+5
The area of second square= [tex](x+5)^{2}[/tex]
Thee area of the second square which is 9 times the original square =
[tex](x+5)^{2}[/tex]= 9([tex]x^{2}[/tex])
use foil to multiply (x+5)(x5) = [tex]x^{2}[/tex]+10x+25 = 9[tex]x^{2}[/tex]
That is, 0 = 8[tex]x^{2}[/tex]-10x-25
Factoring quadratic expressions
0= (4x+5)(2x-5)
0 = 4x+5 or 0=2x-5
Therefore, x= -5/4 or x= 2.5.
Reject -5/4 as length cannot be negative and accept the value 2.5.
That is side of the original square x=2.5 sq in
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