An office floor is shaped like a rectangle that measures 13 units by 9 units. Find the area of the office in square units, assuming the given 13 and 9 are the rectangle’s length and breadth.

Difficulty: Easy

Correct Answer: 117

Explanation:

Introduction / Context:This is a direct rectangle area question. When a floor or region is rectangular, its area is found by multiplying its length and breadth. The phrase “square units” means the numeric answer should be expressed as a count of unit squares that can cover the rectangle, so the multiplication result is the area.

Given Data / Assumptions:

  • Length = 13 units
  • Breadth = 9 units
  • Rectangle area formula: area = length * breadth
  • Units are generic, so the result is in square units

Concept / Approach:Use area = 13 * 9. This is a single-step multiplication problem with no unit conversion needed.

Step-by-Step Solution:

Step 1: Area = length * breadth Step 2: Area = 13 * 9 Step 3: 13 * 9 = (10 * 9) + (3 * 9) = 90 + 27 = 117 square units

Verification / Alternative check:You can verify by reversing: if area is 117 and one side is 13, the other side must be 117/13 = 9, which matches the given breadth. That consistency confirms the multiplication is correct.

Why Other Options Are Wrong:

97, 107, 127: are not products of 13 and 9, and do not represent the correct rectangle area. 135: would be 15 * 9 or 13 * 10.38, not 13 * 9. Only 117 is the exact area for a 13-by-9 rectangle.

Common Pitfalls:Some learners mistakenly add 13 + 9 instead of multiplying, which gives 22, not an area. Another mistake is confusing area with perimeter (2*(13+9)=44). Always choose multiplication for area of rectangles, and addition-based formula for perimeter.

Final Answer:117

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