Areas of Parallelograms and Triangles

Q. A parallelogram has an area of 56 cm² and a base of 7 cm. What is the height?

A. 6 cm
B. 8 cm
C. 4 cm
D. 7 cm

Solution

Area = base × height; 56 cm² = 7 cm × height; height = 56 cm² / 7 cm = 8 cm.

Correct Answer: B — 8 cm

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Q. A triangle has a base of 12 m and a height of 8 m. What is its area?

A. 48 m²
B. 96 m²
C. 24 m²
D. 32 m²

Solution

Area = (base × height) / 2 = (12 m × 8 m) / 2 = 48 m².

Correct Answer: A — 48 m²

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Q. A triangle has an area of 30 m² and a height of 10 m. What is the length of the base?

A. 6 m
B. 3 m
C. 5 m
D. 12 m

Solution

Area = (base × height) / 2; 30 m² = (base × 10 m) / 2; base = (30 m² × 2) / 10 m = 6 m.

Correct Answer: A — 6 m

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Q. A triangle has sides of lengths 5 cm, 12 cm, and 13 cm. What is its area?

A. 30 cm²
B. 60 cm²
C. 24 cm²
D. 36 cm²

Solution

This is a right triangle; Area = (base × height) / 2 = (5 cm × 12 cm) / 2 = 30 cm².

Correct Answer: A — 30 cm²

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Q. If a parallelogram has an area of 100 m² and a height of 10 m, what is the length of the base?

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

Solution

Area = base × height; 100 m² = base × 10 m; base = 100 m² / 10 m = 10 m.

Correct Answer: D — 20 m

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Q. If the area of a parallelogram is 72 cm² and the base is 9 cm, what is the height?

A. 6 cm
B. 8 cm
C. 9 cm
D. 12 cm

Solution

Area = base × height; 72 cm² = 9 cm × height; height = 72 cm² / 9 cm = 8 cm.

Correct Answer: A — 6 cm

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Q. What is the area of a parallelogram with a base of 10 cm and a height of 5 cm?

A. 30 cm²
B. 50 cm²
C. 40 cm²
D. 20 cm²

Solution

Area = base × height = 10 cm × 5 cm = 50 cm².

Correct Answer: B — 50 cm²

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Q. What is the area of a parallelogram with sides of length 7 m and 4 m, and an included angle of 60 degrees?

A. 14 m²
B. 28 m²
C. 24.5 m²
D. 20 m²

Solution

Area = a × b × sin(θ) = 7 m × 4 m × sin(60°) = 28 m² × (√3/2) = 24.5 m².

Correct Answer: C — 24.5 m²

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Q. What is the area of a triangle with a base of 10 m and a height of 5 m?

A. 25 m²
B. 50 m²
C. 30 m²
D. 20 m²

Solution

Area = (base × height) / 2 = (10 m × 5 m) / 2 = 25 m².

Correct Answer: A — 25 m²

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Q. What is the area of a triangle with vertices at (0,0), (4,0), and (0,3)?

A. 6 m²
B. 12 m²
C. 8 m²
D. 10 m²

Solution

Area = (1/2) × base × height = (1/2) × 4 × 3 = 6 m².

Correct Answer: A — 6 m²

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Showing 1 to 10 of 10 (1 Pages)

Areas of Parallelograms and Triangles

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