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Quizzes > High School Quizzes > Mathematics

Basic Perimeter Practice Quiz

Boost your perimeter skills with engaging exercises

Difficulty: Moderate
Grade: Grade 3
Study OutcomesCheat Sheet
Colorful paper art promoting Perimeter Power Play, a math trivia for middle school students.

What is the perimeter of a square with side length 4?
12
20
8
16
The perimeter of a square is 4 times its side length. Multiplying 4 by 4 gives 16, which is the correct answer.
What is the perimeter of a rectangle with length 8 and width 3?
24
26
22
16
A rectangle's perimeter is calculated as 2 times the sum of its length and width. Here, 2*(8+3) equals 22.
What is the formula for calculating the perimeter of a square if the side length is s?
s/4
2s
4s
s+4
Since a square has four equal sides, its perimeter is found by multiplying the side length by 4, which is represented by 4s.
What is the perimeter of a rectangle with length 10 and width 2?
26
20
30
24
Using the formula for a rectangle's perimeter, 2*(length + width) equals 2*(10+2), which calculates to 24.
Which unit of measure is typically used to express perimeter?
Liters
Cubic meters
Square meters
Meters
Perimeter measures a linear distance and is expressed in units of length such as meters. Square meters are used for area and cubic meters for volume.
A rectangular playground has a perimeter of 150 meters. If the length is 40 meters, what is the width?
30 meters
35 meters
45 meters
25 meters
Dividing the perimeter by 2 gives the total of the length and width (150/2 = 75). Subtracting the given length (40) from 75 results in a width of 35 meters.
A triangle has sides measuring 7 cm, 9 cm, and 12 cm. What is its perimeter?
30 cm
26 cm
28 cm
32 cm
The perimeter of a triangle is the sum of its three sides. Adding 7, 9, and 12 cm gives a total of 28 cm.
A square and a circle have the same perimeter. If the square has a side length of 5 m, what is the radius of the circle? (Use π=3.14)
3.2 m
3.5 m
3.0 m
2.5 m
The square has a perimeter of 20 m (4*5). Setting the circumference of the circle (2πr) equal to 20, we solve for r≈20/6.28 which is approximately 3.2 m.
A rectangle has a perimeter of 50 cm. If its length is twice its width, what are its dimensions?
Width ≈8.3 cm, Length ≈16.7 cm
Width = 5 cm, Length = 10 cm
Width = 10 cm, Length = 20 cm
Width = 6.25 cm, Length = 12.5 cm
Let the width be x and the length be 2x. The perimeter formula gives 2*(x+2x)=6x=50, so x is approximately 8.33 cm and the length is about 16.67 cm.
A regular hexagon has a perimeter of 48 cm. What is the length of one side?
9 cm
7 cm
6 cm
8 cm
Dividing the total perimeter by the number of sides (6) gives the length of one side: 48 cm ÷ 6 = 8 cm.
Two sides of a parallelogram are 12 cm and 15 cm. What is its perimeter?
60 cm
39 cm
54 cm
30 cm
A parallelogram has two pairs of equal sides, so its perimeter is 2*(12+15) which equals 54 cm.
The perimeter of a rectangle is 60 meters, and the length is 5 meters more than twice the width. What are the width and length?
Width = 7 m, Length = 19 m
Width = 10 m, Length = 25 m
Width = 5 m, Length = 15 m
Width ≈8.3 m, Length ≈21.7 m
Let the width be x and the length be 2x+5. Using the perimeter formula 2*(x + (2x+5))=60 simplifies to 3x+5=30, yielding x≈8.33 m and a length of approximately 21.67 m.
If the perimeter of an equilateral triangle is 33 cm, what is the length of each side?
11 cm
12 cm
10 cm
13 cm
In an equilateral triangle, all three sides are equal. Dividing the perimeter by 3 gives each side as 33 ÷ 3 = 11 cm.
A garden is shaped like a rectangle but with a semicircular end attached to one of the shorter sides. If the rectangle is 10 m by 5 m and the semicircle uses the 5 m side as its diameter, what is the approximate total perimeter? (Use π=3.14)
35 m
Approximately 32.9 m
30 m
40 m
The perimeter comprises the two 10 m sides and the remaining 5 m side of the rectangle, plus a semicircular edge (half the circumference of a circle with diameter 5 m, approximately 7.85 m). Adding these gives about 32.85 m.
A rectangular pond has a uniform walkway of 2 m width around it. If the pond has dimensions 10 m by 6 m, what is the perimeter of the outer edge of the walkway?
48 m
36 m
44 m
40 m
The walkway extends the pond's dimensions by 2 m on all sides, giving outer dimensions of 14 m by 10 m. The perimeter is 2*(14+10), which equals 48 m.
A composite shape consists of a rectangle attached to an isosceles triangle. The rectangle has dimensions 12 cm by 5 cm, and the triangle, which shares its 12 cm base with the rectangle, has a height of 7 cm. What is the total perimeter of the composite figure (approximately)?
Approximately 40.4 cm
Approximately 50 cm
Approximately 44 cm
Approximately 34 cm
The rectangle contributes three sides (12 cm and two sides of 5 cm, totaling 22 cm) while the triangle's two equal sides (each found using the Pythagorean theorem from half the base and the height) are approximately 9.22 cm each, adding up to roughly 18.44 cm. Combined, the total perimeter is approximately 40.4 cm.
An open-top rectangular box has a base with a perimeter of 28 cm. If the length is 2 cm more than the width, what are the dimensions of the base?
Width = 7 cm, Length = 9 cm
Width = 4 cm, Length = 6 cm
Width = 5 cm, Length = 7 cm
Width = 6 cm, Length = 8 cm
Let the width be x and the length be x+2. Using the perimeter formula 2*(x + (x+2)) results in 4x+4=28, which solves to x=6, giving a length of 8 cm.
A track is shaped in the form of a rectangle with semicircular ends on the shorter sides. If the rectangular part is 80 m long and 40 m wide, what is the total perimeter (distance around the track)? (Use π=3.14)
Approximately 300 m
Approximately 285.6 m
Approximately 265 m
Approximately 310 m
The track consists of two straight sections of 80 m each (totaling 160 m) and two semicircular ends that together form a full circle with a diameter of 40 m. The circumference of that circle is approximately 125.6 m, so the total perimeter is about 285.6 m.
A regular octagon has a perimeter of 64 cm. If one side is increased by 2 cm while another is decreased by 2 cm, what will the new perimeter be?
66 cm
62 cm
68 cm
64 cm
Although one side increases and another decreases by the same amount, the overall change cancels out, leaving the perimeter unchanged at 64 cm.
A garden is designed in the shape of an L. The L-shape has outer edge segments measuring 3 m, 5 m, 4 m, 2 m, 3 m, 4 m, 5 m, and 2 m. What is the perimeter of the garden?
28 m
32 m
26 m
30 m
By summing all the given outer edge segments (3+5+4+2+3+4+5+2), the total perimeter is found to be 28 m.
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Study Outcomes

  1. Understand the concept of perimeter and its practical applications.
  2. Apply perimeter formulas to calculate the boundaries of geometric shapes.
  3. Analyze hands-on problems to devise effective strategies for perimeter calculation.
  4. Evaluate multi-step problems by identifying and solving relevant components of a shape.
  5. Create accurate solutions that reflect real-world perimeter challenges.

Basic Perimeter Worksheets Cheat Sheet

  1. Perimeter Basics - Imagine wrapping a shape with a magic ribbon and measuring how far you go - that total is the perimeter! It's simply the sum of all side lengths and tells you how "long" the boundary is. Ready to dive deeper? splashlearn.com
  2. Key Perimeter Formulas - Every shape has its own formula: P = 4a for squares, P = 2(l + w) for rectangles, P = a + b + c for triangles, and C = 2πr for circles (aka circumference!). Memorizing these will help you blast through problems faster than a calculator. Stay sharp and you'll breeze through quizzes! geeksforgeeks.org
  3. Regular Polygon Perimeters - When all sides are equal, finding the perimeter is a breeze: just multiply one side by the number of sides. It's like cloning one edge around the whole shape. Perfect for equilateral triangles, pentagons, hexagons and beyond! splashlearn.com
  4. Irregular Shape Perimeters - Unequal sides? No problem - add each side length one by one. Treat the perimeter as a list of numbers waiting to be summed, and you'll never lose track. This method sharpens your attention to detail every time you tackle a weird shape. splashlearn.com
  5. Real‑World Practice - Want to fence a garden or frame a picture? Calculate the perimeter to know exactly how much material you need. Applying perimeter skills to everyday tasks cements your understanding in a fun, practical way. Grab a tape measure and see math come alive! splashlearn.com
  6. Coordinate Geometry Approach - For shapes on a graph, each side is a segment between two points - use the distance formula √((x₂−x₝)²+(y₂−y₝)²) to find its length. Then sum up those distances to get the total perimeter. It's perfect for you number‑crunchers who love plotting points! mathbitsnotebook.com
  7. Units of Measurement - Perimeters must have units - meters, centimeters, inches or even miles if you're feeling epic! Always label your answer with the correct linear unit to avoid confusion. Mastering units is like learning good math manners! geeksforgeeks.org
  8. Composite Shape Strategies - Complex shapes? Break them into simple pieces like rectangles, triangles or semicircles, calculate each perimeter part, then combine. It's like solving a puzzle one piece at a time. Soon you'll conquer any intricate design! geeksforgeeks.org
  9. Verify Your Answers - After you crunch numbers, give your result a quick reality check - does it look reasonable for the shape's size? A simple sketch or rough estimate can save you from silly mistakes. This habit is the secret weapon of math champions! byjus.com
  10. Consistent Practice - Practice makes perfect! Tackle a variety of perimeter problems, from basic triangles to quirky star shapes, and you'll build confidence in no time. The more you practice, the more shortcuts and tricks you'll collect for speedy solutions. mathbitsnotebook.com
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