A rectangle with an area of 24 square units has length x+1 and width 4x-6. Find the value of x.

Answer 1

24 = (x+1)(4x-6)

0 = 4x^2 - 6x + 4x - 6 - 24

0 = 4x^2 - 2x - 30

0 = 2x^2 - x - 15

0 = (2x + 5)( x - 3 )

2x+5=0 is disqualified because it results in negative measures

x-3=0 ---> x = 3

rectangle has dimensions 4 by 6