Answer:
Perimeter of square is given by:
[tex]P = 4a[/tex]
where
P is the perimeter
a is the length of one side.
Given that:
Perimeter of square = (20x+32) inches.
By definition;
Perimeter of square = 4a
Substitute the given values we have;
[tex]20x + 32 = 4a[/tex]
Divide both sides by 4 we get;
[tex]\frac{20x+32}{4} = a[/tex]
or
[tex]a = \frac{4(5x+8)}{4} = 5x + 8[/tex] inches.
Therefore, the length of one sides of the picture frame is, 5x+8 inches.
