Grade 6 Mathematics · Unit 5: Solve Area, Surface Area, and Volume ProblemsStandard 6.GR.1

Lesson 5.1Area of Rhombuses

Apply Day · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target I can find the area of a parallelogram using base × height.

Remember5.1 · Part II

Area of Parallelograms & Rhombuses

  1. Identify the base (any side)
  2. Identify the perpendicular height (height must be perpendicular to base, not slanted)
  3. Multiply base times height; label with square units (e.g. cm², in²)

Words: Slanted side (Lado inclinado)Parallelogram (Paralelogramo)Parallel (Paralelas)Base (Base)Height (Altura)

  1. 1Complete each step, then write the final answer.

    A parallelogram has a base of 7 inches and a height of 3 inches. Find its area.

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    A parallelogram has a base of 16 feet and a height of 11 feet. Find its area.

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    Two parallelograms have the same area. One has a base of 18 inches and a height of 6 inches. The other has a base of 9 inches. What is its height?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.

    A kite is shaped like a rhombus. Each side is 15 inches. The height between two sides is 12 inches. What is the area of the kite?

    Show your work
    Final answer:
  5. 5Complete each step, then write the final answer.

    A window is shaped like a rhombus. Each side is 20 inches. Its area is 360 square inches. What is the height between two of its sides?

    Show your work
    Final answer:
  6. 6Complete each step, then write the final answer.

    A parallelogram has sides of 16 cm and 12 cm. The height to the 16 cm side is 9 cm. What is the height to the 12 cm side?

    Show your work
    Final answer:
  7. 7Circle the letter of the best answer. Show how you know.

    What is the area of a parallelogram with base 10 cm and height 7 cm?

    1. A17 sq cm
    2. B34 sq cm
    3. C70 sq cm
    4. D70 cm
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  8. 8Circle the letter of the best answer. Show how you know.

    A parallelogram patio on the firm's blueprint has an area of 54 sq ft and a base of 9 ft. What is the height?

    1. A6 ft
    2. B27 ft
    3. C45 ft
    4. D63 ft
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  9. 9Circle the letter of the best answer. Show how you know.

    What is the area of a parallelogram with base 9 cm and height 5 cm?

    1. A14 sq cm
    2. B22.5 sq cm
    3. C45 sq cm
    4. D90 sq cm
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
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