Answer:
Answer 4
width = 4
Length = 13
Step-by-step explanation:
Givens
Length = x + 9
width = x
Area = 52
Equation
Area = L * W
Area = x (x + 9 ) = 52
Solution
x (x + 9) = 52 remove the brackets
x^2 + 9x = 52 Subtract 52 from both sides
x^2 + 9x - 52 = 0 Factor
(x + 13)(x - 4) = 0
x + 13 is an extraneous solution. You cannot have a length or width of - 13 or minus anything for that matter.
x - 4 = 0 Add 4 to both sides
x = 4 This is the only possible solution.
