Question

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

Answer 1

x=9

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 * 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