Unit 7, Lesson 20# Construct rectangles with a given perimeter using unit squares and determine their areas

EngageNY 60 min(s)

In this lesson, students find the possible areas of rectangles with a given perimeter. (For example, they are asked to build rectangles with a perimeter of 12 unit squares and divide 12 by 2 to find that the sum of the length and width is 6. From there, they determine that they can make three rectangles whose lengths and widths add up to 6, which results in rectangles made with 5, 8, and 9 unit squares.) Then they discuss differences in the areas of rectangles with the same perimeter.