The length of a rectangle is 3 inches longer than it is wide. if the perimeter is 46 inches what are the dimensions of the rectangle

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