Answer:
Length: 9
Width: 2
Step-by-step explanation:
Area = length × width
18 = (x - 5)(x + 2)
18 = x² - 5x + 2x - 10
x² - 3x - 28 = 0
x² - 7x + 4x - 28 = 0
x(x - 7) + 4(x - 7) = 0
(x - 7)(x + 4) = 0
x = 7, -4(not possible)
Length: 7+2 = 9
Width: 7-5 = 2
(x-5)(x+2)= 60
x^2 + 2x - 5x -10 = 60
x^2 -3x -10 = 60
x^2 -3x -70
(x-10)(x+7)
x= 7
Proof:
x + 2
x - 5
Plug in 7.
7 + 2 = 9
7 - 5 = 2
9 x 2 = 18
