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

Lesson 5.3The Trapezoid Area Formula

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

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Learning target I can find the area of a trapezoid using the formula A = ½(b1 + b2) × h.

Remember5.3 · Part II

Area of Trapezoids

  1. A trapezoid is a four-sided shape with one pair of parallel bases
  2. Add the two bases together: (b1 + b2)
  3. Multiply by the perpendicular height, then take half

Words: Trapezoid (Trapecio)Parallel (Paralelas)Base 1 (b1) (Base 1 (b1))Base 2 (b2) (Base 2 (b2))Height (Altura)

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

    A trapezoid has bases of 2 in and 4 in. Its height is 3 in. Find its area.

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

    A trapezoid has bases of 12 ft and 8 ft. Its height is 7 ft. Find its area.

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

    A trapezoid has an area of 66 square inches. Its height is 6 inches. One base is 8 inches. How long is the other base?

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

    A road sign is a trapezoid. Its parallel sides are 20 inches and 30 inches. Its height is 16 inches. What is the area of the sign?

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

    A patio is a trapezoid with an area of 150 square feet. Its front and back edges are parallel and 10 feet apart. The front edge is 12 feet. How long is the back edge?

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

    A trapezoid has a height of 4 cm and an area of 30 square centimeters. The long base is 3 cm longer than the short base. How long is the short base?

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

    What is the area of a trapezoid with bases 6 cm and 10 cm, and height 4 cm?

    1. A24 sq cm
    2. B32 sq cm
    3. C40 sq cm
    4. D64 sq 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 trapezoid has an area of 45 sq ft, bases of 7 ft and 11 ft. What is the height?

    1. A3 ft
    2. B5 ft
    3. C9 ft
    4. D10 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 first step when finding the area of a trapezoid?

    1. AMultiply the two bases
    2. BSubtract the shorter base from the longer base
    3. CAdd the two bases together
    4. DDivide the height by 2
    Show your work
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