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Florida Grade 6 Math · Geometric Reasoning

MA.6.GR.1.3: Rectangles on the Coordinate Plane

What this Grade 6 benchmark means, worked examples, common mistakes, and a free printable worksheet.

Created by a Florida mom · Published by Tropical Learning LLC

Download Free Worksheet (PDF)See worked examples

What Is Benchmark MA.6.GR.1.3?

Students solve problems by plotting points on the coordinate plane, such as finding the perimeter or area of a rectangle, finding its side lengths, or finding a missing fourth vertex. The sides of the rectangles are parallel to the axes.

Side lengths come from distances between points with the same x- or y-coordinate.

Official benchmarkSolve mathematical and real-world problems by plotting points on a coordinate plane, including finding the perimeter or area of a rectangle.

On the FAST test: part of the Grade 6 reporting category Geometric Reasoning, Data Analysis, and Probability, which is about 25–36% of the test.

Worked Examples

Worked Example 1

Perimeter and Area

A rectangle has vertices (−3, 2), (4, 2), (4, −1), and (−3, −1). Find its perimeter and area.
  1. 1Length: from x = −3 to x = 4 is |−3| + |4| = 7 units.
  2. 2Width: from y = 2 to y = −1 is |2| + |−1| = 3 units.
  3. 3Perimeter: 7 + 3 + 7 + 3 = 20. Area: 7 × 3 = 21.
Answer: Perimeter 20 units; area 21 square units

Worked Example 2

Finding the Fourth Vertex

Three vertices of a rectangle are (1, 1), (1, 5), and (6, 5). Find the fourth.
  1. 1The fourth vertex lines up with (6, 5) vertically and with (1, 1) horizontally.
  2. 2So it has x = 6 and y = 1.
Answer: (6, 1)

Common Mistakes to Watch For

Subtracting coordinates across zero

Wrong:From x = −3 to x = 4 is 4 − 3 = 1 unit.

The points are on opposite sides of the y-axis: 3 + 4 = 7 units.

Mixing up perimeter and area units

Wrong:The area is 21 units.

Area is in square units: 21 square units.

Helpful Math Tip

Plot the points on graph paper and connect them in order before calculating. A sketch catches most mistakes.

Related Grade 6 Skills

MA.6.GR.1.2

Distance on the Coordinate Plane

MA.6.GR.2.2

Area of Quadrilaterals and Composite Figures

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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.