Florida Grade 3 Math · Geometric Reasoning

MA.3.GR.2.4: Area and Perimeter of Composite Figures

What this Grade 3 benchmark means, worked examples, common mistakes, and a free printable worksheet.

Created by a Florida mom · Published by Tropical Learning LLC

What Is Benchmark MA.3.GR.2.4?

A composite figure is made of rectangles that don't overlap, like an L-shaped pool or room. Students find its area by splitting it into rectangles and adding their areas.

To find the perimeter, add the lengths of all the outside sides. The line where the rectangles meet is inside the figure, so it is not part of the perimeter. Each rectangle is no bigger than 12 units by 12 units.

Official benchmarkSolve mathematical and real-world problems involving the perimeter and area of composite figures composed of non-overlapping rectangles with whole-number side lengths.

On the FAST test: part of the Grade 3 reporting category Geometric Reasoning, Measurement, and Data Analysis and Probability, which is about 23–29% of the test.

Worked Examples

Worked Example 1

Area of an L-Shape

An L-shaped pool is made of two rectangles: one is 10 feet by 3 feet and the other is 4 feet by 4 feet. What area does the pool cover need to be?
  1. 1Area of the first rectangle: 10 × 3 = 30
  2. 2Area of the second rectangle: 4 × 4 = 16
  3. 3Add them: 30 + 16 = 46
Answer: 46 square feet

Worked Example 2

Perimeter of an L-Shape

Going around the same pool, the outside sides are 10, 3, 6, 4, 4, and 7 feet. What is the perimeter?
  1. 1Add every outside side once.
  2. 210 + 3 + 6 + 4 + 4 + 7 = 34
Answer: 34 feet

Common Mistakes to Watch For

Including the inside line in the perimeter

Wrong:Adding the side where the two rectangles meet to the perimeter.

Perimeter only counts the outside edges. The shared side is inside the figure.

Multiplying the two longest sides

Wrong:An L-shape 10 feet wide and 7 feet tall has an area of 10 × 7 = 70 square feet.

The L-shape is not a full rectangle. Split it into rectangles and add: 30 + 16 = 46 square feet.

Helpful Math Tip

Draw the shape on grid paper and color each rectangle a different color. Find each area, then add.

Related Grade 3 Skills

Make Florida Math Practice More Fun

Help your child build math confidence with original interactive questions aligned with Florida's B.E.S.T. Mathematics Standards.

Start Practicing Free

Independent Educational Platform. FastChomp is published by Tropical Learning LLC and is not affiliated with, sponsored by, or endorsed by the Florida Department of Education. FAST and Star assessment names are referenced for informational purposes only. FastChomp practice questions are original educational materials, not official Florida FAST assessment questions.