A rectangle has an area of 84 cm² and a perimeter of 38 cm. Find the DIFFERENCE between its length and its breadth.
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Worked Solution
Step 1: From the perimeter: 2 × (L + B) = 38, so L + B = 19.
Step 2: From the area: L × B = 84.
Step 3: List factor pairs of 84 whose sum is 19: 1 × 84 (sum 85), 2 × 42 (sum 44), 3 × 28 (sum 31), 4 × 21 (sum 25), 6 × 14 (sum 20), 7 × 12 (sum 19). ✓
Step 4: So L = 12 cm and B = 7 cm. Difference = L − B = 12 − 7 = 5 cm.
Answer: 5 cm
Correct answer: 5 cm
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