Answer:
Width = 10 inches
Length = 13 inches
Step-by-step explanation:
Firstly, we setup 'let' statements,
Let:
Width be x
Length x + 3
2(width) + 2(length) = Perimeter;
2x + 2(x + 3) = 46,
2x + 2x + 6 = 46
Then, we simplify for 2x + 2x:
4x + 6 = 46
The opposite operation for addition is subtraction to isolate x, therefore:
4x + 6 - 6 = 46 - 6,
4x = 40
The opposite operation for multiplication is division, to isolate x, therefore:
4x / 4 = 40 / 4
x = 10
Now we substitute for x in the let statements:
Width = 10 inches
Length = (10) + 3 = 13 inches