Mathematics
Grade 3
15 min
Perimeter: word problems
Perimeter: word problems
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1
Introduction & Learning Objectives
Learning Objectives
Define perimeter and identify the goal of a perimeter word problem.
Extract the side lengths of a polygon from a word problem.
Calculate the total perimeter of a polygon by adding all of its side lengths.
Solve for a missing side length when the total perimeter and other side lengths are given.
Write a number sentence or equation that represents the perimeter of a shape in a word problem.
Correctly label their answers with the appropriate units of measurement (e.g., inches, feet, meters).
Have you ever wanted to build a fence for a puppy or put a sparkly border around your favorite drawing? 🖼️ That's perimeter!
In this lesson, we will learn how to solve word problems about perimeter. Perimeter is the distance all the way around the outside of a shap...
2
Key Concepts & Vocabulary
TermDefinitionExample
PerimeterThe total distance around the outside of a closed, flat shape. You find it by adding the lengths of all the sides together.If a square has sides that are 2 inches long, its perimeter is 2 + 2 + 2 + 2 = 8 inches.
SideOne of the straight lines that forms a polygon.A triangle has 3 sides. A rectangle has 4 sides.
PolygonA flat, closed shape made of straight lines.Squares, rectangles, and triangles are all polygons.
RectangleA 4-sided polygon where opposite sides are equal in length.A book cover is often a rectangle. The top and bottom sides are the same length, and the left and right sides are the same length.
SquareA special rectangle where all 4 sides are exactly the same length.A cheese cracker is often a square. If one side is 1 inch long, all four sides ar...
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Core Formulas
Perimeter of Any Polygon
P = \text{side}_1 + \text{side}_2 + \text{side}_3 + \dots
To find the perimeter of any shape with straight sides, you just add the length of every single side.
Perimeter of a Rectangle
P = \text{length} + \text{width} + \text{length} + \text{width}
Since the two lengths are equal and the two widths are equal, you add the length and width twice.
Perimeter of a Square
P = 4 \times \text{side}
Since all four sides of a square are the same length, you can multiply the length of one side by 4. You can also add the side to itself 4 times.
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Challenging
A swimming pool is shaped like an L. The total length is 15 feet and the total width is 10 feet. The 'cutout' part of the L is a rectangle. What is the perimeter of the pool?
A.25 feet
B.40 feet
C.50 feet
D.60 feet
Challenging
You have a rectangular piece of paper that is 8 inches wide and 10 inches long. You fold it in half along its length. By how much does the perimeter decrease?
A.10 inches
B.18 inches
C.26 inches
D.The perimeter stays the same
Challenging
Two identical square gardens, each with a side length of 5 meters, are placed side-by-side to create one large rectangular garden. What is the perimeter of the new large rectangular garden?
A.40 meters
B.20 meters
C.25 meters
D.30 meters
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