2D Mensuration (Area) for Competitive Exam Preparation

2D Mensuration (Area)

Q. If the area of a parallelogram is 120 square units and the base is 15 units, what is the height?

A. 8 units
B. 10 units
C. 12 units
D. 15 units

Solution

Area = base × height. Thus, 120 = 15 × height, giving height = 120/15 = 8 units.

Correct Answer: B — 10 units

Learn More →

Q. If the area of a rhombus is 72 cm² and one diagonal is 12 cm, what is the length of the other diagonal?

A. 12 cm
B. 18 cm
C. 24 cm
D. 30 cm

Solution

Area = (d1 × d2) / 2. 72 = (12 × d2) / 2, so d2 = 12 cm.

Correct Answer: B — 18 cm

Learn More →

Q. If the area of a rhombus is 72 square cm and one diagonal is 12 cm, what is the length of the other diagonal?

A. 12 cm
B. 18 cm
C. 24 cm
D. 6 cm

Solution

Area = (1/2) × d1 × d2. Thus, 72 = (1/2) × 12 × d2, giving d2 = 12 cm.

Correct Answer: B — 18 cm

Learn More →

Q. If the area of a sector of a circle is 25π cm² and the radius is 10 cm, what is the angle of the sector in degrees?

A. 90 degrees
B. 60 degrees
C. 45 degrees
D. 30 degrees

Solution

Area of a sector = (θ/360) × πr². Thus, 25π = (θ/360) × π(10)². Solving gives θ = 90 degrees.

Correct Answer: A — 90 degrees

Learn More →

Q. If the area of a sector of a circle is 25π square units and the radius is 5 units, what is the angle of the sector in degrees?

A. 90°
B. 60°
C. 45°
D. 30°

Solution

Area of a sector = (θ/360) × πr². Thus, 25π = (θ/360) × π(5)². Solving gives θ = 90°.

Correct Answer: A — 90°

Learn More →

Q. If the area of a sector of a circle is 30 cm² and the radius is 5 cm, what is the angle of the sector in degrees?

A. 60°
B. 72°
C. 90°
D. 120°

Solution

Area of a sector = (θ/360) × πr². Thus, 30 = (θ/360) × π × 25. Solving gives θ = (30 × 360)/(25π) ≈ 72°.

Correct Answer: B — 72°

Learn More →

Q. If the area of a square is 64 square meters, what is the length of one side?

A. 6 meters
B. 8 meters
C. 10 meters
D. 12 meters

Solution

Area = side². Thus, 64 = side², giving side = √64 = 8 meters.

Correct Answer: B — 8 meters

Learn More →

Q. If the area of a square is 64 square units, what is the length of one side?

A. 6 units
B. 8 units
C. 10 units
D. 12 units

Solution

Area = side². Thus, side = √64 = 8 units.

Correct Answer: B — 8 units

Learn More →

Q. If the area of a trapezium is 60 cm² and the lengths of the two parallel sides are 10 cm and 14 cm, what is the height?

A. 4 cm
B. 5 cm
C. 6 cm
D. 7 cm

Solution

Area = (1/2) × (a + b) × height. 60 = (1/2) × (10 + 14) × height. Solving gives height = 5 cm.

Correct Answer: B — 5 cm

Learn More →

Q. If the area of a trapezium is 60 square units and the lengths of the parallel sides are 10 units and 20 units, what is the height?

A. 4 units
B. 6 units
C. 8 units
D. 10 units

Solution

Area = (1/2) × (base1 + base2) × height. Thus, 60 = (1/2) × (10 + 20) × height, giving height = 60 / 15 = 4 units.

Correct Answer: B — 6 units

Learn More →

Q. If the area of a trapezium is 60 square units and the lengths of the two parallel sides are 10 units and 20 units, what is the height?

A. 4 units
B. 6 units
C. 5 units
D. 8 units

Solution

Area = (1/2) × (base1 + base2) × height. Thus, 60 = (1/2) × (10 + 20) × height, giving height = 60 / 15 = 4 units.

Correct Answer: B — 6 units

Learn More →

Q. If the area of a triangle is 50 square cm and its base is 10 cm, what is the height of the triangle?

A. 5 cm
B. 10 cm
C. 15 cm
D. 20 cm

Solution

Area of a triangle = (1/2) × base × height. Thus, 50 = (1/2) × 10 × height. Solving gives height = 10 cm.

Correct Answer: A — 5 cm

Learn More →

Q. If the area of a triangle is 50 square units and its base is 10 units, what is the height of the triangle?

A. 5 units
B. 10 units
C. 15 units
D. 20 units

Solution

Area of a triangle = (1/2) × base × height. Thus, 50 = (1/2) × 10 × height. Solving gives height = 10 units.

Correct Answer: A — 5 units

Learn More →

Q. The area of a parallelogram is 120 square meters, and its base is 15 meters. What is the height?

A. 8 m
B. 10 m
C. 12 m
D. 15 m

Solution

Area = base × height. Thus, 120 = 15 × height, giving height = 120/15 = 8 m.

Correct Answer: B — 10 m

Learn More →

Q. The area of a parallelogram is 120 square units, and its base is 15 units. What is the height?

A. 8 units
B. 10 units
C. 12 units
D. 15 units

Solution

Area = base × height. Thus, 120 = 15 × height, giving height = 120/15 = 8 units.

Correct Answer: B — 10 units

Learn More →

Q. The area of a rhombus is 48 square cm and one diagonal is 8 cm. What is the length of the other diagonal?

A. 12 cm
B. 10 cm
C. 8 cm
D. 6 cm

Solution

Area = (1/2) × d1 × d2. Thus, 48 = (1/2) × 8 × d2, giving d2 = 12 cm.

Correct Answer: A — 12 cm

Learn More →

Q. The area of a rhombus is 60 square cm and one diagonal is 10 cm. What is the length of the other diagonal?

A. 12 cm
B. 15 cm
C. 10 cm
D. 8 cm

Solution

Area = (1/2) × d1 × d2. Thus, 60 = (1/2) × 10 × d2, giving d2 = 12 cm.

Correct Answer: B — 15 cm

Learn More →

Q. The area of a rhombus is 60 square cm. If one diagonal is 10 cm, what is the length of the other diagonal?

A. 12 cm
B. 15 cm
C. 10 cm
D. 8 cm

Solution

Area = (1/2) × d1 × d2. Thus, 60 = (1/2) × 10 × d2, giving d2 = 60/(5) = 12 cm.

Correct Answer: B — 15 cm

Learn More →

Q. The area of a sector of a circle is 30 cm² and the radius is 5 cm. What is the angle of the sector in degrees?

A. 60 degrees
B. 72 degrees
C. 90 degrees
D. 120 degrees

Solution

Area of sector = (θ/360) × πr². Thus, 30 = (θ/360) × 3.14 × 25. Solving gives θ = (30 × 360) / (3.14 × 25) ≈ 72 degrees.

Correct Answer: B — 72 degrees

Learn More →

Q. What is the area of a rhombus with diagonals measuring 10 cm and 24 cm?

A. 120 cm²
B. 60 cm²
C. 80 cm²
D. 100 cm²

Solution

Area of a rhombus = (1/2) × d1 × d2 = (1/2) × 10 × 24 = 120 cm².

Correct Answer: A — 120 cm²

Learn More →

Showing 31 to 50 of 50 (2 Pages)

2D Mensuration (Area)

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?