Perimeter of a square = 4 × side
Perimeter of this square = 72 units
Length of each side of this square =
[tex]2x - 4[/tex]
To find the length of each side we can use this equation :-
[tex]4(2x - 4) = 72[/tex]
[tex]8x + - 16 = 72[/tex]
[tex]8x - 16 = 72[/tex]
[tex] 8x = 72 + 16[/tex]
[tex]8x = 88[/tex]
[tex]x = \frac{88}{8} [/tex]
[tex]x = 11[/tex]
Using this we can find the length of each side .
Length of each side :-
= 2x - 4
= 2 × 11 - 4
= 22 - 4
= 18
Hence the length of each side = 18
Which means :-
Perimeter of this square :
= 4 × 18
= 72
[tex]therefore \: , \: the \: value \: of \: x \: = 11[/tex]
