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).