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  • 3rd Grade
  • Math
  • About 10 minutes

Same Area, Different Perimeter

Draw two different rectangles with the area given. Find each perimeter.

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Same Area, Different PerimeterName:Date:Draw two different rectangles with the area given. Find each perimeter.Area = 6 square unitsRectangle 1:byPerimeter =Rectangle 2:byPerimeter =Area = 18 square unitsRectangle 1:byPerimeter =Rectangle 2:byPerimeter =Area = 10 square unitsRectangle 1:byPerimeter =Rectangle 2:byPerimeter =k5printables.com · Sheet #76124601 · Aligned with Common Core 3.MD.C.7

This is sheet #76124601.

How to do it

  1. Read the area.
  2. Draw two different rectangles on the grid with that area.
  3. Find the perimeter of each one.

Teaching tip

There is more than one right answer. Long, thin rectangles have bigger perimeters. This sheet is aligned with Common Core 3.MD.C.7.

Same Area, Different Perimeter worksheet for 3rd grade (area and perimeter), free printable
Printable preview

About this worksheet

Draw two rectangles with the same area on grid paper and compare their perimeters.

What kids practice

Area is the amount of space inside a flat shape, measured in square units. Perimeter is the distance all the way around a shape, measured in units of length. Third graders find area by counting squares and then by multiplying length × width. They find perimeter by adding the side lengths, and learn that two shapes can have the same area but different perimeters.

Watch for

  • Mixing up area and perimeter. Area is inside; perimeter is around.
  • Adding only the two labeled sides of a rectangle instead of all four.
  • Writing area in plain units instead of square units.

It's free to print, with Fewer, Standard or More on the page and an answer key. See the full area and perimeter guide for 3rd grade.

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