Area of Polygons Quiz

Grade 6 · Math · Quiz

Test your ability to apply area formulas for rectangles, triangles, parallelograms, and trapezoids.

Questions

1. What is the area of a triangle with base 12 cm and height 7 cm?

   1. 84 cm²
   2. 42 cm²
   3. 19 cm²
   4. 38 cm²
   Show answer

   Answer: 42 cm²

   A = ½ × 12 × 7 = 42 cm²

2. A square has a side length of 9 m. What is its area?

   1. 36 m²
   2. 81 m²
   3. 18 m²
   4. 72 m²
   Show answer

   Answer: 81 m²

   A = 9² = 81 m²

3. A parallelogram has base 11 cm and height 5 cm. What is its area?

   1. 55 cm²
   2. 32 cm²
   3. 27.5 cm²
   4. 60 cm²
   Show answer

   Answer: 55 cm²

   A = 11 × 5 = 55 cm²

4. A trapezoid has bases of 8 m and 12 m, and a height of 6 m. What is its area?

   1. 60 m²
   2. 120 m²
   3. 72 m²
   4. 96 m²
   Show answer

   Answer: 60 m²

   A = ½ × (8 + 12) × 6 = ½ × 20 × 6 = 60 m²

5. A rectangle has area 72 cm² and width 8 cm. What is its length?

   1. 7 cm
   2. 8 cm
   3. 9 cm
   4. 64 cm
   Show answer

   Answer: 9 cm

   72 ÷ 8 = 9 cm

6. A triangle has area 24 ft² and height 8 ft. What is its base?

   1. 3 ft
   2. 6 ft
   3. 16 ft
   4. 48 ft
   Show answer

   Answer: 6 ft

   A = ½ × b × h → 24 = ½ × b × 8 → 24 = 4b → b = 6 ft

7. The area formula for a parallelogram uses the slanted side length, not the perpendicular height.

   Show answer

   Answer: False

   The parallelogram area formula uses the perpendicular height, not the slanted side

8. A rectangle has length 15 m and width 4 m. Its area is ___ m².

   Show answer

   Answer: 60

   A = 15 × 4 = 60 m²

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