Answer:
Explanation:
Let x = width.
Length = x + 6.
area = length × width
area = (x + 6)x = x² + 6x
area = 167
x² + 6x = 167
x² + 6x - 167 = 0
x = [-b ± √(b² - 4ac)]/(2a)
x = [-6 ± √(6² - 4(1)(-167))]/[2(1)]
x = [-6 ± √(36 + 668)]/2
x = [-6 ± √(704)]/2
x = -3 ± [√(64 × 11)]/2
x = -3 ± 4√(11)
x = 10.27; the other value of x is negative and is discarded since a width must be positive
x + 6 = 16.27
Answer: length 16.27 inches; width 10.27 inches