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Area and Perimeter Quiz: Test Your Skills Now

Ready for an area quiz challenge? Measure up with this area perimeter quiz!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art shapes and measuring tools for grade 6 area and perimeter quiz on golden yellow background

This area and perimeter quiz helps you practice finding sides and areas for rectangles, triangles, and composite figures. Use it to spot gaps before a math test and build speed with clear, bite-size questions. Start with the short area warm-up , then tackle the perimeter practice set .

What is the perimeter of a rectangle with length 8 cm and width 5 cm?
30 cm
40 cm
26 cm
13 cm
The perimeter of a rectangle is calculated by P = 2 × (length + width). Substituting length = 8 cm and width = 5 cm gives P = 2 × (8 + 5) = 26 cm. This matches the formula for any rectangle. .
What is the area of a square with side length 7 cm?
14 cm²
49 cm²
21 cm²
28 cm²
The area of a square is side². Here, side = 7 cm, so area = 7 × 7 = 49 cm². This formula applies to all squares. .
What is the area of a triangle with base 10 cm and height 4 cm?
14 cm²
8 cm²
20 cm²
40 cm²
The area of a triangle is (1/2) × base × height. Substituting base = 10 cm and height = 4 cm gives area = 0.5 × 10 × 4 = 20 cm². This works for any triangle. .
What is the perimeter of an equilateral triangle with each side measuring 6 cm?
18 cm
24 cm
12 cm
30 cm
An equilateral triangle has three equal sides, so P = side × 3. With side = 6 cm, P = 6 × 3 = 18 cm. This is true for all equilateral triangles. .
A 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?
30 cm²
24 cm²
27 cm²
21 cm²
First find each area: square = 3² = 9 cm², rectangle = 6 × 3 = 18 cm². Then add them: 9 + 18 = 27 cm². Composite areas are sums of individual shapes. .
The perimeter of a square is 20 cm. What is the length of one side?
5 cm
4 cm
20 cm
10 cm
A square's perimeter P = 4 × side. With P = 20 cm, side = 20 ÷ 4 = 5 cm. This holds for any square. .
A rectangle has area 48 cm² and width 6 cm. What is its length?
9 cm
12 cm
8 cm
6 cm
Area of a rectangle = length × width. Given area 48 cm² and width 6 cm, length = 48 ÷ 6 = 8 cm. This is standard for finding missing sides. .
A triangle has sides of length 7 cm, 10 cm, and 5 cm. What is its perimeter?
17 cm
22 cm
35 cm
20 cm
Triangle perimeter is the sum of its sides: 7 + 10 + 5 = 22 cm. Perimeter always adds all side lengths. .
A 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?
238 m²
60 m²
58 m²
180 m²
Outer dimensions become (15+2) by (12+2) = 17×14 = 238 m². Subtract the garden area, 15×12 = 180 m², giving 238 ? 180 = 58 m² for the path. Always subtract the inner shape. .
What is the circumference of a circle with radius 7 cm? (Use ? = 3.14)
38.5 cm
21.98 cm
153.86 cm
43.96 cm
Circumference = 2?r. With r = 7 cm and ? = 3.14, C = 2 × 3.14 × 7 = 43.96 cm. This is the distance around the circle. .
A trapezoid has bases 8 cm and 12 cm with height 5 cm. What is its area?
50 cm²
10 cm²
100 cm²
20 cm²
Area of a trapezoid = ½ × (base? + base?) × height = 0.5 × (8 + 12) × 5 = 50 cm². Remember to average the bases first. .
The length of a rectangle is 2x + 3 cm and the width is x cm. If its perimeter is 26 cm, what is x?
4 cm
3 cm
10/3 cm
5 cm
Perimeter = 2 × (length + width) = 2[(2x+3)+x] = 26. Simplify: 2(3x+3) = 26 ? 3x+3 = 13 ? 3x = 10 ? x = 10/3 cm. This solves the algebraic perimeter equation. .
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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.

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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