Answer:
x=9
Step-by-step explanation:
The goal is to combine our knowledge of geometry area and algebra skills to solve this problems.
We know area of rectangle is
[tex]l \times w[/tex]
where l is the length and w is the width. We know that one side is 3 less than the other side. We can use L or W but let use L. Let x replace L
One side is x, while the other side is
[tex]x - 3[/tex]
Both multiply to 54.
[tex]x(x - 3) = 54[/tex]
[tex] {x}^{2} - 3x = 54[/tex]
[tex] {x}^{2} - 3x - 54 = 0[/tex]
[tex](x - 9)(x + 6)[/tex]
[tex]x = 9[/tex]
or
[tex]x = - 6[/tex]
Distance. is positive so x=9
