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

Lesson 5.35.3 Small Group · Group 2

Group 2 · Set BSecond challenge 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, explain why the method works, and use it on a problem I have not seen before.

Remember5.3 Small Group · Group 2

A trapezoid's area equals its average base times its height, so you can work backward from the area to a missing length. The trapezoid formula also works backward. You can find a missing base or height from the area.

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 an area of 36 square meters. Its bases are 5 m and 7 m. What is its height?

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

    A trapezoid has an area of 70 square centimeters. Its bases are 6 cm and 8 cm. What is its height?

    Show your work
    Final answer:
  3. 3Complete 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:
  4. 4Complete 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:

Explain your thinkingJay took half of the bases first. The formula takes half at the end. Why do both orders give the same area?

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help