EWT | Academic Question

Questions
Question (21)
QN009798
If the area of a triangle is fixed, increasing its base will:
  • (A) Increase height
  • (B) Decrease height
  • (C) Double height
  • (D) Keep height same

Correct Answer: B
Explanation:

For fixed area, height decreases if base increases.

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Question (22)
QN009799
A triangular field has base 30 m and height 14 m. Its area is:
  • (A) 210 m²
  • (B) 420 m²
  • (C) 180 m²
  • (D) 840 m²

Correct Answer: A
Explanation:

Area = ½ × 30 × 14 = 210 m².

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Question (23)
QN009800
Which of the following can represent area?
  • (A) 24 cm
  • (B) 36 cm²
  • (C) 15 m
  • (D) 20 cm

Correct Answer: B
Explanation:

Area is measured in square units.

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Question (24)
QN009801
The area of a triangle is 132 cm². If its height is 11 cm, the base is:
  • (A) 12 cm
  • (B) 18 cm
  • (C) 24 cm
  • (D) 30 cm

Correct Answer: C
Explanation:

Base = (2 × 132) ÷ 11 = 24 cm.

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Question (25)
QN009802
A triangle has base 32 cm and height 15 cm. Area is:
  • (A) 240 cm²
  • (B) 480 cm²
  • (C) 120 cm²
  • (D) 960 cm²

Correct Answer: A
Explanation:

Area = ½ × 32 × 15 = 240 cm².

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Question (26)
QN009803
If the base of a triangle becomes three times and height remains same, the area becomes:
  • (A) One-third
  • (B) Double
  • (C) Triple
  • (D) Four times

Correct Answer: C
Explanation:

Area is directly proportional to the base.

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Question (27)
QN009804
A triangular carpet covers 108 m². If its base is 18 m, its height is:
  • (A) 10 m
  • (B) 12 m
  • (C) 14 m
  • (D) 16 m

Correct Answer: B
Explanation:

Height = (2 × 108) ÷ 18 = 12 m.

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Question (28)
QN009805
A rectangle and a triangle have the same base and height. The area of the rectangle is:
  • (A) Half the triangle
  • (B) Equal to triangle
  • (C) Double the triangle
  • (D) Four times the triangle

Correct Answer: C
Explanation:

Area of rectangle = 2 × area of triangle.

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Question (29)
QN009806
The area of a triangle with dimensions 16 cm base and 11 cm height is:
  • (A) 88 cm²
  • (B) 176 cm²
  • (C) 44 cm²
  • (D) 352 cm²

Correct Answer: A
Explanation:

Area = ½ × 16 × 11 = 88 cm².

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Question (30)
QN009807
Which real-life activity uses the concept of area of a triangle?
  • (A) Measuring boundary wire
  • (B) Designing triangular road signs
  • (C) Counting corners
  • (D) Measuring rope length

Correct Answer: B
Explanation:

Triangular road signs use the concept of triangular area.

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