Question

The formula for the perimeter of a rectangle is P = 2L + 2W where L is

the length and W is the width of the rectangle. What is the length of a
rectangle whose perimeter is 48 inches and width is 6 inches?
A. 12 inches
B. 18 inches
C. 24 inches
D. 30 inches

Answer 1

Using the perimeter formula P = 2L + 2W, and substituting P = 48 inches and W = 6 inches, we find that the length L is 18 inches. Therefore, the correct answer is option B. 18 inches.

Step-by-step explanation:

To find the length of a rectangle whose perimeter is 48 inches and width is 6 inches, you can use the formula for the perimeter of a rectangle: P = 2L + 2W. The problem provides the perimeter (P) and the width (W), so we can solve for the length (L).

1. Insert the known values into the formula: 48 = 2L + 2(6).
2. Simplify the equation: 48 = 2L + 12.
3. Subtract 12 from both sides to isolate the term with L: 36 = 2L.
4. Divide both sides by 2 to solve for L: L = 18 inches.

So, the length of the rectangle is 18 inches, which corresponds to option B.