Answer:
10 by 4
Step-by-step explanation:
Let the width be x units
Therefore, length = (x + 6) units
Area of rectangle = length *width
[tex]x(x + 6) = 40 \\ {x}^{2} + 6x - 40 = 0 \\ {x}^{2} + 10x - 4x - 40 = 0 \\ x(x + 10) - 4(x + 10) = 0 \\ (x + 10)(x - 4) = 0 \\ x + 10 = 0 \: or \: x - 4 = 0 \\ x = - 10 \: or \: x = 4 \\ length \: can \: not \: be \: negative \\ \implies \: x \neq \: - 10 \\ x = 4 \\ x + 6 = 4 + 6 = 10 \\ [/tex]
