write the expression for the perimeter of a rectangle with a length that is 5 inches longer than its width

Let the width be x.

hence, the length is (x+5) inches.
Perimeter=2(x+5)+2x
=2x+10+2x
=(4x+10)inches

Let's assume that the width of the rectangle is represented by "w" inches.

Since the length is 5 inches longer than the width, we can express the length as "w + 5" inches.

Now, let's calculate the perimeter of the rectangle.

The perimeter of a rectangle is given by the formula:

Perimeter = 2(length + width)

In this case, the length is (w + 5) inches, and the width is "w" inches.

Substituting these values into the formula, we get:

Perimeter = 2((w + 5) + w)

Simplifying the expression, we get:

Perimeter = 2(w + 5 + w)

Perimeter = 2(2w + 5)

Therefore, the expression for the perimeter of the rectangle is 2(2w + 5).

To find the expression for the perimeter of a rectangle with a length that is 5 inches longer than its width, you can follow these steps:

Step 1: Assign a variable to represent the width of the rectangle. Let's use "w" for width.

Step 2: Since the length is 5 inches longer than the width, the length can be represented as "w + 5".

Step 3: The perimeter of a rectangle is given by the sum of all its sides. In this case, the rectangle has two equal lengths and two equal widths.

Step 4: The formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

Step 5: Substitute "w + 5" for the length (l) and "w" for the width (w) in the formula for the perimeter: P = 2((w + 5) + w).

Step 6: Simplify the expression: P = 2(2w + 5).

Therefore, the expression for the perimeter of a rectangle with a length that is 5 inches longer than its width is P = 2(2w + 5).