Answer:
width: 8.5
length: 4
Step-by-step explanation:
width: x
length: 2x - 13
area = length * width
34 = (2x - 13)x
34 = 2x² - 13x
2x² - 13x - 34 = 0
(2x - 17)(x + 2) = 0
2x - 17 = 0
2x = 17
x = 8.5
x + 2 = 0
x = -2 width cannot be negative so discard this
width: x = 8.5
length: 2x - 13 = 2(8.5) - 13 = 4