Answer:
L = 8
w = 3
Step-by-step explanation:
Givens
w = L - 5
L = x
Area = 24
Formula
Area = L * w
Solution
Area = (x) * (x - 5)
24 = x * (x - 5) Remove the brackets
24 = x^2 - 5x Subtract 24 from both sides
0 = x^2 - 5x - 24 This will factor
0 = (x - 8)(x + 3)
x + 3 is an extraneous root. You cannot have a length of -3 units no matter what the units are.
x - 8 = 0
x = 8
Answer
The length = 8
The width is = 8 - 5 = 3
