Touchstone Standards

Georgia Grade 4 math, Geometric & Spatial Reasoning

4.GSR.8.3 worksheets: find area and perimeter of composite rectangles with known sides

Find piece areas and the whole, add the outside edges, or subtract a notch, with side lengths provided.

The standard

Solve problems involving area and perimeter of composite rectangles involving whole numbers with known side lengths.

Element 4.GSR.8.3 of Georgia's K-12 Mathematics Standards (2021, effective SY2023-24), in the Geometric & Spatial Reasoning strand. It sits under standard 4.GSR.8: Identify and draw geometric objects, classify polygons based on properties, and solve problems involving area and perimeter of rectangular figures.

What students practice

Count squares and edges on grids, find rectangle-piece areas and add, or subtract a notch from a whole rectangle. Every outline side on labeled figures is printed. T shapes split into a bar and a stem; U shapes appear on Take Away a Notch, keyed by subtraction. Stories and worked keys use centimeters, meters, or plain units.

Where to find it

  • p. 3Count the Squares. Count the squares to find the area, and count the unit edges to find the perimeter.
  • p. 4Split It. Find the area of each piece, then add to find the area of the whole shape.
  • p. 5Labeled Composites: Area. Every length is in centimeters; find each piece, then add for the whole area.
  • p. 6Labeled Composites: Perimeter. Add the lengths of all the sides to find the perimeter of each shape.
  • p. 7Choose Your Split. Split each shape into two rectangles any way you like, then find the area.
  • p. 8T Shapes. Every length is in meters; split each T into a bar and a stem, then find the area.
  • p. 9Area and Perimeter Together. Every length is in centimeters; find the area and the perimeter of each shape.
  • p. 10Composite Stories 1. Read each problem, find the area, and show your thinking in the box.
  • p. 11Composite Stories 2. Read each problem, find the perimeter, and show your thinking in the box.
  • p. 12Take Away a Notch. Find the whole rectangle and the notch, then subtract to find the area.
  • p. 13Area Code. Answer each question, then use the code to spell a word.
  • p. 14Mixed Review. Read each problem, then solve.

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