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151 lines
6.1 KiB
HTML
151 lines
6.1 KiB
HTML
<!DOCTYPE html>
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<html lang="en"><!-- #BeginTemplate "/Templates/Main.dwt" --><!-- DW6 -->
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<!-- Mirrored from www.mathsisfun.com/area-conversion.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:36:35 GMT -->
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<meta http-equiv="content-type" content="text/html; charset=UTF-8">
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<!-- #BeginEditable "doctitle" -->
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<title>Conversion of Area</title>
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<script language="JavaScript" type="text/javascript">reSpell=[["meters","metres"],["kilometers","kilometres"]];</script>
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<meta name="keywords" content="math, maths, mathematics, school, homework, education">
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<article id="content" role="main">
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<!-- #BeginEditable "Body" -->
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<h1 class="center">Conversion of Area</h1>
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<p class="center"><i>Note: you may also like <a href="metric-imperial-conversion-charts.html">Conversion
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Charts</a> and the <a href="unit-conversion-tool.html">Unit Converter</a></i>.</p>
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<div class="center80">
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<p>First understand <a href="length-conversion.html">Conversion of Length</a>. If you are comfortable
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converting miles to kilometers, etc, then you are nearly there.</p> </div>
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<br> <p>To convert area, simply remember that <b>area is length by width</b>:</p>
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<p class="center larger">Area = Length × Width</p>
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<p>So we convert <b><i>once for the length</i></b> and <b><i>once
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again for the width</i></b>:</p>
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<div class="center80">
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<p class="center"><span class="larger">Just do the length conversion twice.</span></p>
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</div><p> </p>
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<div class="example">
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<h3>Example: Convert 1 square yard into square feet.</h3>
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<p>We know that three feet make a yard:</p>
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<p class="center larger">1 yd = 3 ft</p>
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<p>So, the <b>Length</b> conversion is to multiply by 3</p>
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<p>And so the <b>Area</b> conversion must be to multiply by 3, and multiply by
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3 <b><i>again</i></b>.</p>
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<p class="center"><span class="larger">Result is 3 × 3 = 9</span></p>
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<p class="center"><b>There are 9 square
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feet in a square yard.</b></p>
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<p>Count the 1 ft squares, and you will see why:</p>
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<p class="center"><img src="measure/images/area-conversion.svg" alt="1 square yard is 9 square feet" height="292" width="297"></p>
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</div>
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<div class="example">
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<h3>Example: Convert 30 square feet into square meters (30 ft<sup>2</sup> to
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m<sup>2</sup>)</h3>
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<p>The conversion for feet to meters is:</p>
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<p class="center larger">1 ft = 0.3048 m</p>
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<p align="left">So the <b>Length</b> conversion is to multiply by 0.3048<br>
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And so the <b>Area</b> conversion must be to multiply by 0.3048 and multiply
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by 0.3048 again:</p>
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<p class="center">30 × 0.3048 × 0.3048 = 2.79</p>
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<p class="center">So, <b>30 ft<sup>2</sup> = 2.79 m<sup>2</sup></b></p>
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</div>
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<h2>More or Less?</h2>
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<p>Sometimes you can get the conversion the "wrong way around", so it is a good idea to think "will my answer be more or less?"</p>
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<p>If you get the wrong answer, try <b>dividing</b> by the conversion number.</p>
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<div class="example">
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<h3>Example: Convert 5 square meters into square feet (5 m<sup>2</sup> to
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ft<sup>2</sup>)</h3>
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<p>Will the answer be more or less than 5? Feet are smaller than meters, so there should be <b>more</b> square feet than square meters.</p>
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<p>The conversion is <b>1 ft = 0.3048 meters</b></p>
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<p>To the nearest 0.01 ft<sup>2</sup>:</p>
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<ul>
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<li>try multiplying: 5 × 0.3048 × 0.3048 = 0.46 ft<sup>2</sup> <i>(oops! that is smaller!)</i></li>
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<li>try dividing: 5 ÷ 0.3048 ÷ 0.3048 = 53.82 ft<sup>2</sup> <i>(that looks good)</i></li>
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</ul>
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<p><b>Answer: 5 m<sup>2</sup> = 5 ÷ 0.3048 ÷ 0.3048 = 53.82 ft<sup>2</sup></b></p>
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</div>
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<p> </p>
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<div class="questions">1031, 1032, 1033, 1034, 1901, 1902, 1903, 1904, 3708, 3709</div>
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<div class="related">
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<a href="metric-imperial-conversion-charts.html">Metric - Imperial Conversion Charts</a>
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<a href="length-conversion.html">How to Convert Lengths</a>
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<a href="volume-conversion.html">How to Convert Volumes</a>
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<a href="imperial-metric-conversion.html">How to Convert Imperial to Metric</a>
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<a href="metric-imperial-conversion.html">How to Convert Metric to Imperial</a>
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<a href="temperature-conversion.html">Converting Temperatures (Celsius and Fahrenheit)</a>
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<a href="unit-conversion-tool.html">Unit Converter</a>
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</div>
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<!-- #EndEditable -->
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</article>
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<div id="copyrt">Copyright © 2022 Rod Pierce</div>
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