Question

The formula for the perimeter of a rectangle is p = 2l + ​2w, where l is the length of the rectangle and w is the width. you are given the perimeter and the width of a rectangle and you wish to solve for length. which of the following formulas is the correct solution for the length of the​ rectangle? A) l = p + w B) l = p - 2w C) l = (p - 2w)/2 D) l = (p - w)/2

Answer 1

To solve for the length of the rectangle given the perimeter and width, use the formula l = (p - 2w)/2

Step-by-step explanation:

To solve for the length of the rectangle, we rearrange the formula for the perimeter of a rectangle:

p = 2l + ​2w

Solving for l, we isolate the l term by moving the 2w term to the other side of the equation:

l = (p - 2w)/2

Therefore, the correct solution for the length of the rectangle is l = (p - 2w)/2 (Option C).

Learn more about Perimeter of a rectangle