Decompose Quadrilaterals to understand Perimeter

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Examples, videos, and solutions to help Grade 3 students learn how to decompose quadrilaterals to understand perimeter as the boundary of a shape.

Common Core Standards: 3.G.1

New York State Common Core Math Grade 3, Module 7, Lesson 10

Worksheets for Grade 3

Application Problem
Trista uses all seven of her tangram pieces to make a square as shown. One side of the large square is 4 inches long. What is the total area of the two large triangles? Explain your answer.

The perimeter is the boundary or “fence” of the shape.
Area is the space inside the shape.

  1. Trace the perimeter of the shapes below with a blue crayon.


  1. Trace the perimeter of the shapes below with a blue crayon.
    a. Explain how you know you traced the perimeters of the shapes above.
    b. Explain how you could use a string to figure out which shape above has the greatest perimeter.
  2. Draw a rectangle on the grid below.
    a. Trace the perimeter of the rectangle with a blue crayon.
    b. Color the area of the rectangle red.
    c. How is the perimeter of the rectangle different than the area of the rectangle?
  3. Maya draws the shape shown below. Noah colors the inside of Maya’s shape as shown. Noah says he colored the perimeter of Maya’s shape. Maya says Noah colored the area of her shape. Who is right? Explain your answer.

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