Find the perimeter of a rectangle whose length is 5 feet and width is 2 feet.

Introduction / Context:
This question checks understanding of the perimeter formula for a rectangle. Perimeter represents the total distance around the boundary of the shape. Given the length and width in feet, we must compute the perimeter in feet. Such problems are common in basic geometry and aptitude tests, helping build confidence in fundamental formulas.

Given Data / Assumptions:

• Length L = 5 ft.
• Width W = 2 ft.
• Rectangle has four right angles and opposite sides are equal.
• Perimeter formula: P = 2(L + W).

Concept / Approach:
The perimeter of a rectangle is twice the sum of its length and width because there are two sides of each type. We first add L and W, then multiply the result by 2. The calculation is straightforward and involves only basic arithmetic operations. Keeping units consistent is important when expressing the final answer.

Step-by-Step Solution:
Length L = 5 ft, width W = 2 ft.Perimeter P = 2(L + W).Compute inside the brackets: L + W = 5 + 2 = 7.Now P = 2 * 7 = 14 ft.Thus, the perimeter of the rectangle is 14 feet.

Verification / Alternative check:
Another way is to add all sides individually. The sides are 5 ft, 2 ft, 5 ft, and 2 ft. Adding gives 5 + 2 + 5 + 2 = 14 ft. This matches the result from the formula approach. Using two consistent methods helps confirm that there is no arithmetic mistake.

Why Other Options Are Wrong:
11 ft, 13 ft, and 15 ft can appear if one wrongly adds length and width only once or miscalculates the sum. For example, 5 + 2 + 2 = 9 or 5 + 5 + 2 = 12 could lead to nearby incorrect choices. 10 ft would arise if someone incorrectly used 2 * 5 instead of adding width. None of these match the correct total boundary length of the rectangle.

Common Pitfalls:
Common errors include forgetting to double the sum of length and width, or multiplying length and width instead of adding them. Some learners also confuse perimeter with area. Remember that perimeter is a one dimensional measure around the figure, while area measures the space inside. Visualising the rectangle and walking around its sides can help keep the concept clear.

Final Answer:
14 ft