Question

I solve kinda a bit but its hard (Algebra 2)

Answer 1

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

$l \times w$

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

$x - 3$

Both multiply to 54.

$x(x - 3) = 54$

${x}^{2} - 3x = 54$

${x}^{2} - 3x - 54 = 0$

$(x - 9)(x + 6)$

$x = 9$

or

$x = - 6$

Distance. is positive so x=9