The length and breadth of a rectangle are 24 cm and 7 cm respectively. Using the standard perimeter formula, what is the perimeter of this rectangle in centimetres?

Introduction: This is a basic geometry question about rectangles. It tests whether you know and can apply the formula for the perimeter of a rectangle using its length and breadth. Such questions are common in aptitude tests to check speed and accuracy in applying simple formulas.

Given Data / Assumptions:

• Length of the rectangle (L) = 24 cm.
• Breadth of the rectangle (B) = 7 cm.
• We are asked to find the perimeter P in centimetres.
• All sides of a rectangle are straight line segments and opposite sides are equal.

Concept / Approach: The perimeter of a rectangle is the total distance around the figure. Since a rectangle has two equal lengths and two equal breadths, its perimeter is given by: P = 2 * (L + B). We simply substitute the given values of L and B into this formula and compute the result.

Step-by-Step Solution: Step 1: Write the perimeter formula: P = 2 * (L + B). Step 2: Substitute the given length and breadth: L = 24 cm, B = 7 cm. Step 3: Compute L + B: L + B = 24 + 7 = 31. Step 4: Multiply by 2: P = 2 * 31 = 62 cm.

Verification / Alternative check: You can also think of the perimeter as adding all four sides explicitly: P = L + B + L + B = 24 + 7 + 24 + 7 = 62 cm. This matches the formula based calculation and confirms that the perimeter is correct.

Why Other Options Are Wrong:

• 48: Could result from 2 * 24, ignoring the breadth.
• 124: Looks like 4 * 31 or miscalculation; it is exactly double the correct perimeter.
• 96: Could come from 4 * 24, incorrectly assuming a square with side 24 cm.
• 31: This is just L + B, not 2(L + B), so it is half the true perimeter.

Common Pitfalls: Some learners forget to multiply by 2 and stop at L + B. Others wrongly apply formulas from area (L * B) instead of perimeter. To avoid confusion, remember that perimeter is the boundary length around a shape, while area is the region inside it.

Final Answer: The perimeter of the rectangle is 62 cm.