Question

The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation 2⋅length+2⋅width=48. Find the length, in centimeters, if the width is w centimeters

Answer 1

The length of the rectangle can be found using the given equation 2(length + width) = perimeter, where the perimeter is given as 48 centimeters. By substituting the values and solving for the length, we get (48 - 2 * w) / 2.

Step-by-step explanation:

The perimeter of a rectangle can be found using the formula 2(length + width) = perimeter. In this case, the perimeter is given as 48 centimeters. We can substitute in the given values and solve for the length. The equation becomes 2(length + w) = 48.

To solve for the length, we need to isolate it on one side of the equation. We can do this by first multiplying 2 to the terms inside the parentheses: 2 * length + 2 * w = 48. Then, subtract 2w from both sides of the equation: 2 * length = 48 - 2 * w. Finally, divide both sides by 2 to solve for the length: length = (48 - 2 * w) / 2.

So, the length of the rectangle, in centimeters, is (48 - 2 * w) / 2.