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Area Of Shape – Definition, Examples | EDU.COM

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Area Of Shape – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Area of ShapeArea Of Shape – Definition, ExamplesTable of ContentsArea of a Shape Definition of Area

Area of a shape is the space enclosed within the perimeter or boundary of a given shape. We can calculate the area for different geometrical shapes using specific mathematical formulas. The area measures how much surface a shape covers.

Different shapes have different area formulas. For rectangles, the area equals length times width. For squares, we multiply the side by itself. Parallelograms use base times height. Triangles use half of base times height. The area of a circle equals pi times radius squared. When shapes combine, we can find the total area by adding the individual areas of each component shape.

Examples of Area Calculation Example 1: Finding the Area of a Triangle with Different Units Problem:

Find the area of a triangle with base = 20 mm20\text{ mm}20 mm and height = 5 cm5\text{ cm}5 cm.

Triangle with Different Units

Step-by-step solution:

Step 1, Remember the formula for the area of a triangle is 12×base×height\frac{1}{2} \times \text{base} \times \text{height}21​×base×height.

Step 2, Notice the measurements are in different units (base = 20 mm20\text{ mm}20 mm and height = 5 cm5\text{ cm}5 cm). We need to convert them to the same unit.

Step 3, Convert 202020 mm to cm: 20 mm=2 cm20 \text{ mm} = 2 \text{ cm}20 mm=2 cm.

Step 4, Now we can substitute the values into the formula: Area=12×base×height=12×2×5 cm2=10 cm2\text{Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 2 \times 5 \text{ cm}^2 = 10 \text{ cm}^2Area=21​×base×height=21​×2×5 cm2=10 cm2

Example 2: Calculating Area of a Combination of Shapes Problem:

Find the area of the figure composed of two rectangles. figure composed of two rectangles

Step-by-step solution:

Step 1, Look carefully at the shape and break it down into smaller, simpler shapes. This figure is made of two rectangles.

Step 2, Find the area of the first rectangle:

Length = 444 in, width = 777 in (= 999 - 222 in) Area = (444 × 777) in² = 282828 in²

Step 3, Find the area of the second rectangle:

Length = 101010 in (= 666 + 444 in), width = 222 in Area = (101010 × 222) in² = 202020 in²

Step 4, Add the areas of both rectangles:

Area of given figure = area of Rectangle 111 + area of Rectangle 222 = (282828 + 202020) in² = 484848 in² Example 3: Finding the Area of a Circle Problem:

The length of the largest chord of a circle is 141414 ft. Find the area of the circle. (Use π=227\frac{22}{7}722​)

circle

Step-by-step solution:

Step 1, Think about what the largest chord in a circle is. The longest chord of a circle is its diameter. This means the diameter (d) = 141414 ft.

Step 2, Calculate the radius using the relationship between radius and diameter:

radius (r) = diameter2\frac{diameter}{2}2diameter​ = 142\frac{14}{2}214​ ft = 777 ft

Step 3, Now use the formula for the area of a circle:

Area of a Circle = πr²

Step 4, Substitute the values and calculate:

Area = π × r² = (227\frac{22}{7}722​) × (7)2(7)²(7)2 = (227\frac{22}{7}722​) × 777 × 777 = 222222 × 777 = 154154154 ft² Comments(7)CCarEnthusiastJakeNovember 6, 2025I've used this area of shape glossary with my students. It's super helpful! Clear defs and examples made learning these concepts a breeze.

PPoetDavidNovember 4, 2025I've used this area of shape glossary with my students. It's super helpful, making complex concepts easy to understand. Thanks!

MCMs. CarterSeptember 17, 2025This definition and examples were super helpful for explaining the area of shapes to my 6th grader! We loved how clear the step-by-step approach was—made homework time a lot easier. Thanks!

NNatureLover89September 10, 2025I’ve been using this page to help my kids with their math homework, and the examples are super clear! Breaking down the formulas step-by-step made it so much easier for them to understand. Thanks for such a helpful resource!

NNatureLover82August 27, 2025I’ve been using this page to help my kids with their homework, and the clear examples made all the difference! The step-by-step guide for combined shapes was super helpful. Thanks!

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