The width of a certain rectangle is 2 less than its length. If its perimeter is 96, what is its length?

I know the length is 25, but I need to know the process of how to get it.

The width of 2 less than its length means W = L - 2

P = 2 ( W + L ) = 96

Replace W = L - 2 in tis equation

2 ( L - 2 + L ) = 96

2 ( 2 L - 2 ) = 96

2 ∙ 2 ( L - 1 ) = 96

4 ( L - 1 ) = 96

Divide both sides by 4

L - 1 = 24

Add 1 to both sides

L = 25

To find the length of the rectangle, we can set up an equation using the given information. Let's represent the length of the rectangle as 'L' and the width as 'W'.

The problem states that the width of the rectangle is 2 less than its length, so we can write the equation as: W = L - 2.

The formula for the perimeter of a rectangle is P = 2(L + W). Given that the perimeter is 96, we can substitute the values into the equation: 96 = 2(L + (L - 2)).

Now, let's simplify the equation:
96 = 2(2L - 2)
48 = 2L - 2
50 = 2L
L = 50/2
L = 25.

Therefore, the length of the rectangle is 25.