These are sample practice MCQs created for exam preparation. These are NOT official exam questions.
What is the area of rectangle ABCD? (1) The perimeter is 28 (2) The length is 2 more than the width
Question:
What is the area of rectangle ABCD? (1) The perimeter is 28 (2) The length is 2 more than the width
What is the area of rectangle ABCD? (1) The perimeter is 28 (2) The length is 2 more than the width
Options
Answer: (C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
Explanation:
Statement (1): 2(l + w) = 28, so l + w = 14. Infinite combinations. Insufficient. Statement (2): l = w + 2. Without actual values, cannot find area. Insufficient. Together: l + w = 14 and l = w + 2. Substituting: (w + 2) + w = 14, so 2w = 12, w = 6, l = 8. Area = 48. Sufficient.
Explanation:
Statement (1): 2(l + w) = 28, so l + w = 14. Infinite combinations. Insufficient. Statement (2): l = w + 2. Without actual values, cannot find area. Insufficient. Together: l + w = 14 and l = w + 2. Substituting: (w + 2) + w = 14, so 2w = 12, w = 6, l = 8. Area = 48. Sufficient.
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