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Grade 6 Math — Area of triangles and parallelograms

Find the area of a parallelogram, a triangle and a rhombus, and the perimeter of a straight-sided shape.

Name: ________________________

  1. 1.Sort each rule by what it works out.

    Groups: Area · Perimeter

    • all the sides added together
    • 4 × side
    • 2 × (length + width)
    • length × width
    • 1/2 × base × height
    • base × height

  2. 2.A path runs all the way round a rectangular garden 20 ft long and 15 ft wide. How far is it once round the garden, in feet?

  3. 3.A rhombus has diagonals of 8 inches and 6 inches. What is its area, in square inches?

  4. 4.A rectangle 14 inches by 9 inches has a triangle of base 14 inches and height 9 inches cut out of it. What area is left, in square inches?

  5. 5.A parallelogram has a base of 8 inches and a height of 5 inches. What is its area, in square inches?

  6. 6.A triangle has a base of 10 inches and a height of 6 inches. What is its area, in square inches?

  7. 7.A parallelogram has an area of 60 square inches and a base of 10 inches. What is its height, in inches?

  8. 8.A triangle and a parallelogram share the same base and the same height. The triangle's area is...

    • a) twice the parallelogram's area
    • b) half the parallelogram's area
    • c) impossible to compare
    • d) the same as the parallelogram's area

Answer key — Grade 6 Math — Area of triangles and parallelograms

  1. 1. base × height → Area; 1/2 × base × height → Area; 2 × (length + width) → Perimeter; 4 × side → Perimeter; length × width → Area; all the sides added together → Perimeter
  2. 2. 70
  3. 3. 24
  4. 4. 63
  5. 5. 40
  6. 6. 30
  7. 7. 6
  8. 8. b) half the parallelogram's area