Answer:
Dimensions : L = 12 inches, Width = 2 inches
Step-by-step explanation:
Let width be w
Let length be w + 10
Area = length x width
24 = w x (w + 10)
[tex]24 = w^2 + 10w\\\\w^2 + 10w - 24 = 0\\\\w^2 +12w -2w -24 = 0\\\\w(w+12) -2(w+12) = 0\\(w-2)(w+12)=0 \\w = 2 , -12[/tex]
Since width is a side of a rectangle , it cannot be negative. so w = 2 inches .
Therefore , length = w + 10 = 12inches
