Mathematics
Grade 6
15 min
Area of squares and rectangles
Area of squares and rectangles
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1
Introduction & Learning Objectives
Learning Objectives
Define 'area' and explain its significance.
Identify the length, width, and side of squares and rectangles.
Apply the correct formulas to calculate the area of squares.
Apply the correct formulas to calculate the area of rectangles.
Use appropriate square units when expressing area measurements.
Solve real-world problems involving the area of squares and rectangles.
Determine a missing side length of a square or rectangle given its area and one other dimension.
Ever wondered how much carpet you need for your bedroom floor, or how much paint to buy for a wall? 🏠 These are questions about area!
In this lesson, you'll learn how to measure the space inside flat shapes like squares and rectangles. Understanding area is a fundamental skill th...
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Key Concepts & Vocabulary
TermDefinitionExample
AreaThe amount of two-dimensional space a flat shape or surface covers. It is measured in square units.If a rug covers 10 square feet of floor, its area is 10 square feet.
SquareA four-sided flat shape where all four sides are equal in length, and all four angles are right angles (90 degrees).A chessboard is a square because all its sides are the same length.
RectangleA four-sided flat shape where opposite sides are equal in length, and all four angles are right angles (90 degrees).A typical door or a piece of paper is a rectangle.
Length (l)The longer side of a rectangle, or one of the sides of a square.If a table is 5 feet long and 3 feet wide, its length is 5 feet.
Width (w)The shorter side of a rectangle, or one of the sides of a square.If a table is 5 feet long...
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Core Formulas
Area of a Rectangle
$A = l \times w$
To find the area (A) of a rectangle, multiply its length (l) by its width (w). Remember, length and width must be in the same units.
Area of a Square
$A = s \times s \quad \text{or} \quad A = s^2$
To find the area (A) of a square, multiply the length of one side (s) by itself. This is because a square is a special type of rectangle where length and width are equal.
Finding a Missing Side of a Rectangle
$l = A \div w \quad \text{or} \quad w = A \div l$
If you know the area (A) of a rectangle and one of its dimensions (length or width), you can find the missing dimension by dividing the area by the known dimension.
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Challenging
A large rectangular garden is 15m by 10m. Inside, there is a square-shaped pond with a side length of 3m. What is the area of the garden available for planting (the area of the garden minus the pond)?
A.150 m²
B.141 m²
C.147 m²
D.159 m²
Challenging
A rectangular piece of fabric measures 3 yards in length and 2 feet in width. What is its area in square feet? (Note: 1 yard = 3 feet)
A.6 sq ft
B.9 sq ft
C.18 sq ft
D.27 sq ft
Challenging
The area of a square is 64 cm². A rectangle has the same perimeter as this square. If the rectangle's length is 10 cm, what is the rectangle's area?
A.60 cm²
B.64 cm²
C.32 cm²
D.100 cm²
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