Area of a Rectangle
Part of the Expressions & Data section of Coddy's Pre-Algebra journey. Lesson 44 of 52.
Area measures how much surface a shape covers, counted in unit squares. A floor 6 metres long and 4 metres wide holds 4 rows of 6 one-metre squares: 6 × 4 is 24 square metres. The area of a rectangle is its length times its width.
Why multiply? Each row holds as many squares as the length, and there are as many rows as the width, so the product counts every square without drawing them. Because each piece is a square, area comes in square units: square metres, square feet.
For a shape with a piece cut out, find the whole area and subtract the hole. A shed wall 6 metres wide and 3 metres high with a window 2 metres wide and 2 metres high leaves 6 × 3 - 2 × 2, which is 18 - 4, 14 square metres to paint.
Challenge
A wall is 12 feet wide and 9 feet high, with a window 3 feet wide and 4 feet high in it. Find the area A of wall to paint, in square feet.
This lesson includes a short quiz. Start the lesson to answer it and track your progress.
This lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Expressions & Data
1Variables and Expressions
What a Variable IsWriting ExpressionsExpressions from StoriesTwo OperationsRecap: Expressions2Evaluating Expressions
Substituting a ValueNegative InputsPowers in ExpressionsFormulasRecap: Evaluating5Patterns and Sequences
Continuing a PatternThe Common DifferenceThe nth TermWriting the RuleRecap: Sequences3The Distributive Property
Number PropertiesMental MathDistributing LettersDistributing a MinusRecap: Distributing9Perimeter and Area
PerimeterArea of a RectangleArea of a TrianglePerimeter as an ExpressionRecap: Perimeter and Area