Mathematics
Grade 3
15 min
Find the missing side length of a rectangle
Find the missing side length of a rectangle
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1
Introduction & Learning Objectives
Learning Objectives
Define area and perimeter for a rectangle.
Recall the formula for the area of a rectangle (Area = length × width).
Use division to find a missing side length when the area and one side are known.
Use subtraction and division to find a missing side length when the perimeter and one side are known.
Explain the relationship between multiplication and division in the context of finding the area of a rectangle.
Solve word problems that require finding the missing side length of a rectangle.
Imagine you're building a rectangular fence for a puppy, but you've lost one of the measurements! How can you figure it out? 🐶
In this lesson, we will become Rectangle Detectives! You will learn how to use what you already know about area and perimeter, along wi...
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Key Concepts & Vocabulary
TermDefinitionExample
RectangleA shape with 4 sides and 4 square corners (right angles). The sides across from each other, called opposite sides, are always equal in length.A door, a book cover, or a tablet screen.
Side LengthThe measurement of one of the straight sides of a shape. In a rectangle, we often call them length and width.A rectangle might have a length of 5 inches and a width of 3 inches.
AreaThe amount of space inside a flat shape. We measure it by counting how many square units fit inside.If a rectangle is 3 units wide and 4 units long, its area is 12 square units.
PerimeterThe total distance around the outside edge of a shape. It's like putting a fence around a yard.For a rectangle with sides of 5 cm and 2 cm, the perimeter is 5 + 2 + 5 + 2 = 14 cm.
Fact FamilyA group...
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Core Formulas
Area Formula
A = l \times w
The Area (A) of a rectangle is found by multiplying its length (l) by its width (w).
The Division Rule for Area
\text{Missing Side} = \text{Area} \div \text{Known Side}
When you know the total area and one side, you can use division (the opposite of multiplication) to find the other side.
Perimeter Rule
P = l + w + l + w
The Perimeter (P) of a rectangle is found by adding the lengths of all four sides together.
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Challenging
Mia wants to find the length of a rectangle. The perimeter is 26 feet and the width is 5 feet. Her work is: 'Step 1: 26 - 5 = 21. The length is 21 feet.' What is Mia's mistake?
A.She should have added 5 instead of subtracting.
B.She forgot to subtract the second width and then divide by 2.
C.She should have divided 26 by 5.
D.She did not make a mistake.
Challenging
A square garden has an area of 25 square meters. What is the length of one side?
A.5 meters
B.10 meters
C.12.5 meters
D.25 meters
Challenging
A square picture frame has a perimeter of 32 inches. What is the length of one side?
A.16 inches
B.4 inches
C.8 inches
D.12 inches
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