Show work
and step-by-step explanation

x = 9

Step-by-step explanation:

A = 56

L = x + 2

W = 2x - 5

A  = L * W

56 = (x+2)(2x - 5)

re-write

(x+2)(2x - 5) = 56

x^2 - 5x +4x - 10 = 56

x^2 -  x - 10 - 56 = 0

x^2 - x  - 66 = 0

a = 1, b = -1 and c = -66

            -b +/- √(b^2 - 4ac)

x =

                      2a

since dimension can't be a negative number so we only use positive

            -b + √(b^2 - 4ac)

x =

                      2a

          -(-1) + √((-1)^2 - 4(1)(-66))

x =

                      2(1)

     1+ √265

x =

         2

x = 8.64

x = 9 (rounded to the nearest whole number)

3030 ur welcome

step-by-step explanation: