EWT | Academic Question

Questions
Question (11)
QN009678
Which of the following has the smallest perimeter for the same area?
  • (A) Long rectangle
  • (B) Square
  • (C) Circle
  • (D) Triangle

Correct Answer: C
Explanation:

Circle has minimum perimeter for a fixed area.

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Question (12)
QN009679
A square and an equilateral triangle have the same perimeter of 36 cm. The side of the triangle is:
  • (A) 6 cm
  • (B) 9 cm
  • (C) 12 cm
  • (D) 18 cm

Correct Answer: C
Explanation:

Side = 36 ÷ 3 = 12 cm.

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Question (13)
QN009680
A shape made of unit squares has 10 outer edges. Its perimeter is:
  • (A) 5 units
  • (B) 10 units
  • (C) 20 units
  • (D) 40 units

Correct Answer: B
Explanation:

Perimeter equals total outer edges = 10 units.

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Question (14)
QN009681
A rectangle has perimeter 50 cm. If its length is 15 cm, its breadth is:
  • (A) 5 cm
  • (B) 10 cm
  • (C) 15 cm
  • (D) 20 cm

Correct Answer: B
Explanation:

2(l + b) = 50 ⇒ l + b = 25 ⇒ b = 10 cm.

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Question (15)
QN009682
The perimeter of an equilateral triangle of side 14 cm is:
  • (A) 28 cm
  • (B) 36 cm
  • (C) 42 cm
  • (D) 56 cm

Correct Answer: C
Explanation:

Perimeter = 3 × 14 = 42 cm.

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Question (16)
QN009683
A puzzle asks: “Can two figures have equal perimeter but unequal area?” The correct response is:
  • (A) No, never
  • (B) Yes, always
  • (C) Yes, sometimes
  • (D) Impossible to decide

Correct Answer: C
Explanation:

Different figures can have equal perimeter but different areas.

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Question (17)
QN009684
If one side of a rectangle increases while the other decreases so that perimeter remains constant, then area:
  • (A) Always increases
  • (B) Always decreases
  • (C) May change
  • (D) Remains constant

Correct Answer: C
Explanation:

Area depends on the product of length and breadth.

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Question (18)
QN009685
A square park has perimeter 100 m. Length of each side is:
  • (A) 20 m
  • (B) 25 m
  • (C) 30 m
  • (D) 40 m

Correct Answer: B
Explanation:

Side = 100 ÷ 4 = 25 m.

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Question (19)
QN009686
Which figure among rectangles with fixed perimeter has maximum area?
  • (A) Long thin rectangle
  • (B) Square
  • (C) Triangle
  • (D) Circle

Correct Answer: B
Explanation:

Among rectangles, a square gives maximum area.

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Question (20)
QN009687
A rectangular garden has perimeter 72 m and breadth 14 m. Its length is:
  • (A) 18 m
  • (B) 20 m
  • (C) 22 m
  • (D) 24 m

Correct Answer: C
Explanation:

2(l + b) = 72 ⇒ l + b = 36 ⇒ l = 22 m.

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