Mathematics Grade 3 15 min

Perimeter

Perimeter

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Introduction & Learning Objectives

Learning Objectives Define perimeter as the distance around a closed shape. Calculate the perimeter of a polygon by adding the lengths of all its sides. Use multiplication as a shortcut to find the perimeter of a square. Calculate the perimeter of a rectangle by adding its side lengths. Find an unknown side length of a polygon when given the perimeter and the other side lengths. Solve simple real-world word problems involving perimeter. Distinguish between the concepts of perimeter and area. Have you ever wanted to build a fence for a puppy's play area? 🐶 How would you know how much fence to buy? In this lesson, we will learn about perimeter, which is the distance all the way around the outside of a shape. Knowing how to find the perimeter helps us measure things in...
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Key Concepts & Vocabulary

TermDefinitionExample PerimeterThe total distance around the outside of a closed, two-dimensional shape.If you walk all the way around a square park, the total distance you walked is the park's perimeter. PolygonA flat, closed shape made of three or more straight sides.Triangles, squares, rectangles, and pentagons are all polygons. SideOne of the straight lines that make up a polygon.A triangle has 3 sides, and a square has 4 sides. RectangleA polygon with four sides where opposite sides are equal in length.A door, a book cover, and a TV screen are often shaped like rectangles. SquareA special rectangle where all four sides are equal in length.A cheese cracker or a window pane can be a square. UnitA standard way to measure length.We measure perimeter in units like inches (in), centim...
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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 polygon, you add the lengths of all its sides together. This rule works for every shape with straight sides. Perimeter of a Square P = 4 \times s Since a square has 4 equal sides, you can find its perimeter by multiplying the length of one side (s) by 4. This is a shortcut for adding s + s + s + s. Perimeter of a Rectangle P = l + w + l + w To find the perimeter of a rectangle, you add the length (l) plus the width (w) plus the length (l) plus the width (w). You have to add all four sides.

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Sample Practice Questions

Challenging
A rectangle has a perimeter of 30 feet. If its length is 10 feet, what is its width?
A.20 feet
B.5 feet
C.10 feet
D.15 feet
Challenging
Farmer McGregor has 50 feet of fencing to build a rectangular garden. He wants the garden to be 15 feet long. If he makes the garden 9 feet wide, will he have enough fence?
A.No, he will be 2 feet short.
B.Yes, he will have 2 feet left over.
C.Yes, he will have exactly enough.
D.No, he will be 8 feet short.
Challenging
A polygon has a perimeter of 24 units. All of its sides are the same length, and the side length is a whole number. Which of these shapes could it be?
A.square with sides of 5 units
B.pentagon (5 sides) with sides of 5 units
C.triangle with sides of 8 units
D.rectangle with sides of 10 and 2 units

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