Question

The perimeter of a rectangle is given by the formula p = 2w + 2l, where w is the width and l is the length. Rearrange the formula for the length (l).

a) l = p/2 - w
b) l = p/2 + w
c) l = (p - 2w)/2
d) l = (p + 2w)/2

Answer 1

To solve for length (l) in the rectangle's perimeter formula, subtract 2 times the width (w) from the perimeter (p) and then divide by 2, resulting in the correct formula: l = (p - 2w) / 2. The correct answer is option c.

Step-by-step explanation:

The perimeter of a rectangle is calculated using the formula p = 2w + 2l, where p represents the perimeter, w represents the width, and l represents the length of the rectangle. To rearrange the formula to solve for length (l), we follow these steps:

• Starting with the original formula: p = 2w + 2l
• Subtract 2w from both sides: p - 2w = 2l
• Divide both sides by 2 to isolate l: l = (p - 2w) / 2

Therefore, the correct option is (c) l = (p - 2w)/2.