Math · Geometry
Area of Triangles, Parallelograms and Trapezoids
Find areas of triangles, parallelograms, trapezoids and composite shapes.
- 🎓 Grade 6
- 🧮 Math
- 📐 6.G.A.1
- ❓ 24 questions
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A triangle has base 10 cm and height 7 cm. What is its area?
- A 17 cm²
- B 34 cm²
- C 35 cm²
- D 70 cm²
A = ½ × 10 × 7 = 35
A parallelogram has base 5 m, height 4 m and slanted side 6 m. What is its area?
- A 22 m²
- B 30 m²
- C 20 m²
- D 10 m²
A = base × height = 5 × 4 = 20
A trapezoid has bases 6 in and 12 in and height 7 in. What is its area?
- A 84 in²
- B 126 in²
- C 63 in²
- D 42 in²
A = ½ × (6 + 12) × 7 = 63
A triangle has base 14 ft and height 8 ft. What is its area?
- A 56 ft²
- B 44 ft²
- C 112 ft²
- D 22 ft²
A = ½ × 14 × 8 = 56
A parallelogram has base 12 cm, height 4 cm and slanted side 6 cm. What is its area?
- A 48 cm²
- B 36 cm²
- C 24 cm²
- D 72 cm²
A = base × height = 12 × 4 = 48
A trapezoid has bases 11 m and 19 m and height 11 m. What is its area?
- A 121 m²
- B 209 m²
- C 165 m²
- D 330 m²
A = ½ × (11 + 19) × 11 = 165
A triangle has base 16 in and height 11 in. What is its area?
- A 176 in²
- B 54 in²
- C 27 in²
- D 88 in²
A = ½ × 16 × 11 = 88
A parallelogram has base 13 ft, height 10 ft and slanted side 13 ft. What is its area?
- A 65 ft²
- B 52 ft²
- C 169 ft²
- D 130 ft²
A = base × height = 13 × 10 = 130
A trapezoid has bases 15 cm and 23 cm and height 6 cm. What is its area?
- A 114 cm²
- B 138 cm²
- C 90 cm²
- D 228 cm²
A = ½ × (15 + 23) × 6 = 114
A triangle has base 8 m and height 12 m. What is its area?
- A 40 m²
- B 48 m²
- C 96 m²
- D 20 m²
A = ½ × 8 × 12 = 48
A parallelogram has base 14 in, height 7 in and slanted side 9 in. What is its area?
- A 49 in²
- B 46 in²
- C 126 in²
- D 98 in²
A = base × height = 14 × 7 = 98
A trapezoid has bases 8 ft and 10 ft and height 3 ft. What is its area?
- A 54 ft²
- B 27 ft²
- C 30 ft²
- D 24 ft²
A = ½ × (8 + 10) × 3 = 27
A triangle has base 9 cm and height 12 cm. What is its area?
- A 54 cm²
- B 42 cm²
- C 108 cm²
- D 21 cm²
A = ½ × 9 × 12 = 54
A parallelogram has base 7 m, height 9 m and slanted side 11 m. What is its area?
- A 31.5 m²
- B 63 m²
- C 36 m²
- D 77 m²
A = base × height = 7 × 9 = 63
A trapezoid has bases 16 in and 18 in and height 11 in. What is its area?
- A 198 in²
- B 176 in²
- C 187 in²
- D 374 in²
A = ½ × (16 + 18) × 11 = 187
A triangle has base 10 ft and height 8 ft. What is its area?
- A 80 ft²
- B 36 ft²
- C 40 ft²
- D 18 ft²
A = ½ × 10 × 8 = 40
A parallelogram has base 9 cm, height 11 cm and slanted side 12 cm. What is its area?
- A 42 cm²
- B 108 cm²
- C 49.5 cm²
- D 99 cm²
A = base × height = 9 × 11 = 99
A trapezoid has bases 16 m and 22 m and height 8 m. What is its area?
- A 128 m²
- B 152 m²
- C 304 m²
- D 176 m²
A = ½ × (16 + 22) × 8 = 152
A right triangle has legs 6 m and 8 m. What is its area?
- A 24 m²
- B 14 m²
- C 10 m²
- D 48 m²
A rectangle 10 ft by 4 ft has a triangle with base 10 ft and height 3 ft on top. Total area?
- A 70 ft²
- B 55 ft²
- C 85 ft²
- D 40 ft²
40 + 15 = 55
A triangle has area 30 cm² and base 10 cm. What is its height?
- A 20 cm
- B 300 cm
- C 6 cm
- D 3 cm
½ × 10 × h = 30, so h = 6.
A square has area 81 in². What is its side length?
- A 9 in
- B 40.5 in
- C 27 in
- D 20.25 in
Two triangles that make a parallelogram each have half its area.
True That is why a triangle's area is ½ × b × h.
The height of a triangle is always one of its sides.
False Height is the perpendicular distance from the base to the opposite vertex.
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