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What Is the Area Formulas?(With Examples)

Area is the measure of the space inside a two-dimensional shape. It tells you how much surface the shape covers and is measured in square units (cm², m², in², ft², etc.). Different shapes have different formulas for calculating their area.

Grades 4-7Key Stage 2-3Årskurs 4-7Klasse 4-7

📖Definition

📐Formula

Rectangle: A = l × w; Triangle: A = ½ × b × h; Circle: A = πr²

Each shape has a specific formula: rectangles use length times width, triangles use half of base times height, circles use pi times radius squared.

📝Step-by-Step Guide

Identify the Shape

Determine what type of shape you're working with to choose the correct formula.

Identify the Measurements Needed

Rectangle needs length and width; triangle needs base and height; circle needs radius.

Apply the Formula

Substitute the measurements into the appropriate area formula.

Include Square Units

Always write the answer with square units (cm², m², etc.).

⚠️Common Mistakes to Avoid

Confusing area with perimeter
Forgetting to use square units
Using diameter instead of radius for circles
Using the slant height instead of perpendicular height for triangles
Not converting units before calculating

✏️Practice Problems

Easy

Find the area of a rectangle with length 8 cm and width 5 cm

Answer: 40 cm²

Medium

Find the area of a triangle with base 12 m and height 7 m

Answer: 42 m²

Hard

Find the area of a circle with radius 6 cm (use π = 3.14)

Answer: 113.04 cm²

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Worked Examples

Area of Rectangle Exampleeasy

Area of Triangle Exampleeasy

Perimeter Surface Area Volume Circles

Curriculum Alignment

CommonCore (6.G.A.1)KS3KMK

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