Mathematics Grade 6 15 min

Area of rectangles and squares

Area of rectangles and squares

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Introduction & Learning Objectives

Learning Objectives Identify and describe the properties of rectangles and squares. Understand the concept of area as the amount of surface covered by a two-dimensional shape. Apply the formula Area = length × width to calculate the area of rectangles. Apply the formula Area = side × side (or side²) to calculate the area of squares. Use appropriate square units (e.g., cm², m², in²) when expressing area. Solve real-world problems involving the area of rectangles and squares. Ever wondered how much carpet you'd need for your bedroom floor, or how much paint for a wall? 🤔 It's all about measuring the space inside! In this lesson, you'll learn how to calculate the area of rectangles and squares. Understanding area helps us measure flat surfaces and solve many pr...
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Key Concepts & Vocabulary

TermDefinitionExample AreaThe amount of two-dimensional space a flat surface covers.The area of a tabletop is the space it takes up on its surface. RectangleA four-sided flat shape where all angles are right angles (90 degrees) and opposite sides are equal in length.A typical door, a piece of paper, or a computer screen. SquareA special type of rectangle where all four sides are equal in length and all angles are right angles.A checkerboard square, a Rubik's Cube face, or a square tile. LengthThe longer side of a rectangle, or one of the dimensions used to measure its extent.If a table is 3 feet long and 2 feet wide, 3 feet is its length. WidthThe shorter side of a rectangle, or the other dimension used to measure its extent.If a table is 3 feet long and 2 feet wide, 2 feet is its wi...
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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). Area of a Square `A = s \times s` or `A = s^2` To find the area (A) of a square, multiply the length of one of its sides (s) by itself.

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Sample Practice Questions

Challenging
A rectangular park is 50 meters long and 30 meters wide. A walkway that is 2 meters wide is built around the *outside* of the park. What is the area of the walkway itself?
A.160 m²
B.1500 m²
C.336 m²
D.1836 m²
Challenging
The area of a square is 100 cm². If the length of each side is increased by 20%, what is the area of the new, larger square?
A.120 cm²
B.140 cm²
C.144 cm²
D.400 cm²
Challenging
A rectangular room's length is twice its width. If the area of the room is 72 square meters, what is the width of the room?
A.6 m
B.8 m
C.9 m
D.12 m

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