Mathematics

Area and Perimeter Quiz for Geometry Practice

Moderate2-5mins

This area and perimeter quiz helps you practice finding side lengths, areas, and perimeters for rectangles, triangles, and composite figures. For focused review, try our area quiz, build confidence with a composite shapes quiz, and brush up on fundamentals in a geometry quiz before you start.

Paper art shapes and measuring tools for grade 6 area and perimeter quiz on golden yellow background
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1What is the perimeter of a rectangle with length 8 cm and width 5 cm?
2What is the area of a square with side length 7 cm?
3What is the area of a triangle with base 10 cm and height 4 cm?
4What is the perimeter of an equilateral triangle with each side measuring 6 cm?
5A composite shape is made by attaching a square (side 3 cm) to one side of a rectangle (6 cm by 3 cm). What is the total area?
6The perimeter of a square is 20 cm. What is the length of one side?
7A rectangle has area 48 cm[@U00B2] and width 6 cm. What is its length?
8A triangle has sides of length 7 cm, 10 cm, and 5 cm. What is its perimeter?
9A rectangular garden measures 15 m by 12 m. A 1 m wide path surrounds it on all sides. What is the area of the path alone?
10What is the circumference of a circle with radius 7 cm? (Use ? = 3.14)
11A trapezoid has bases 8 cm and 12 cm with height 5 cm. What is its area?
12The length of a rectangle is 2x + 3 cm and the width is x cm. If its perimeter is 26 cm, what is x?
Learning Goals

Study Outcomes

  1. Calculate Areas and Perimeters -

    Use standard formulas to accurately compute the area and perimeter of rectangles, squares, triangles, and circles.

  2. Distinguish Between Shapes -

    Identify various geometric figures and select appropriate measurement formulas for each shape in the quiz.

  3. Apply Real-World Problem Solving -

    Solve practical area and perimeter tasks by interpreting measurements and applying correct calculation methods.

  4. Analyze Feedback for Improvement -

    Evaluate instant quiz feedback to recognize calculation mistakes and reinforce understanding of measurement concepts.

  5. Boost Math Confidence -

    Build confidence in tackling area and perimeter questions through engaging practice and instant reinforcement.

Study Guide

Cheat Sheet

  1. Basic Perimeter Formulas -

    Memorize the perimeter formulas for rectangles (P=2(l+w)), squares (P=4s), and triangles (P=a+b+c) so you can tackle any area and perimeter quiz with confidence. According to Khan Academy, writing down these formulas at the start of your area quiz session helps reinforce your memory and prevents mistakes.

  2. Essential Area Equations -

    Review the key area formulas: rectangle A=lw, triangle A=½bh, parallelogram A=bh, and trapezoid A=((a+b)/2)*h. The National Council of Teachers of Mathematics notes that practicing these equations on sample problems boosts recall during an area perimeter quiz.

  3. Unit Conversion Mastery -

    Practice converting between square units (e.g., 1 m²=10 000 cm² or 1 ft²=144 in²) to avoid errors when problems mix measurements. MIT OpenCourseWare suggests a quick dimensional analysis check to ensure your answers use the correct units.

  4. Composite Shape Strategies -

    Break complex figures into familiar shapes - like rectangles, triangles, or circles - then sum their areas or perimeters. The "Divide and Conquer" approach from Cambridge University Press makes tackling composite challenges in your area and perimeter test much simpler.

  5. Test-Taking Techniques -

    Draw clear diagrams, label all sides, and underline given values before calculating to reduce careless errors. Educational research in the Journal of Educational Psychology shows that estimating an answer first and then solving can double-check your work on any area quiz problem.

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Michael HodgeEdTech Product Lead & Assessment Design SpecialistQuiz Maker
Updated Feb 21, 2026