- p. 9Same Perimeter, New Area. Find the perimeter and area of each rectangle, then circle the greater area.
- p. 10Same Area, New Perimeter. Find the perimeter and area of each rectangle, then circle the smaller perimeter.
- p. 11Draw Two Rectangles. Draw two different rectangles on each grid, then fill in the table.
- p. 12Which Uses Less Fence?. Find the area and perimeter of each garden, then circle the one with less fence.
- p. 13Rectangle Stories. Draw both rectangles, then solve each problem.
- p. 14Mixed Review. Read each problem, then solve.
The standard
Investigate and describe how rectangles with the same perimeter can have different areas or how rectangles with the same area can have different perimeters.
Element 3.GSR.8.2 of Georgia's K-12 Mathematics Standards (2021, effective SY2023-24), in the Geometric & Spatial Reasoning strand. It sits under standard 3.GSR.8: Determine the perimeter of a polygon presented in real-life, mathematical problems.
What students practice
Students find both the perimeter and the area of rectangles to see that the same perimeter can give different areas and the same area different perimeters. They draw two different rectangles on a grid, decide which garden uses less fence, and solve rectangle stories. Every figure is a rectangle with sides of 10 or less.
Where to find it
Think: 5 by 1 and 4 by 2 both have perimeter 12, but areas 5 and 8.